Tìm hai số khi biết tổng và tỉ số của hai số đó

Home Lớp 5 Toán lớp 5 - Sách Kết nối tri thức Bài 38. Tìm hai số khi biết tổng và tỉ số của hai số đóBài tập nâng cao

{"common":{"save":0,"post_id":"8365","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"4187","post_id":"8365","mon_id":"1159414","chapter_id":"1159495","question":"N\u0103m nay t\u1ed5ng s\u1ed1 tu\u1ed5i c\u1ee7a hai anh em là 12 tu\u1ed5i. Bi\u1ebft s\u1ed1 tu\u1ed5i c\u1ee7a anh g\u1ea5p 3 l\u1ea7n s\u1ed1 tu\u1ed5i c\u1ee7a em. H\u1ecfi 5 n\u0103m n\u1eefa anh bao nhiêu tu\u1ed5i?<\/p>","options":["A.<\/strong> 9 tu\u1ed5i","B.<\/strong> 3 tu\u1ed5i","C.<\/strong> 8 tu\u1ed5i","D.<\/strong> 14 tu\u1ed5i"],"correct":"4","level":"3","hint":"","answer":"Ch\u1ecdn D.<\/strong> 14 tu\u1ed5i.<\/span><\/p>Ta có s\u01a1 \u0111\u1ed3 <svg height=\"100\" width=\"270\"> <g> <title><\/title> <rect fill=\"#aaffff\" height=\"102\" id=\"canvas_background\" width=\"272\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"5\" xml:space=\"preserve\" y=\"28.25\">Anh<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"5\" xml:space=\"preserve\" y=\"70.25\">Em<\/text> <g id=\"svg_6\"> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"62\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"103\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <g id=\"svg_10\"> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"144\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"144\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <g id=\"svg_14\"> <line fill=\"none\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"62\" y1=\"57.25\" y2=\"71.25\"><\/line> <line fill=\"none\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"103\" y1=\"64.25\" y2=\"64.25\"><\/line> <line fill=\"none\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"57.25\" y2=\"71.25\"><\/line> <\/g> <g id=\"svg_18\"> <line fill=\"none\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"144\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"185\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_17\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"185\" x2=\"185\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(1.4984692335128784,0,0,4.064061024264811,-103.20149991625112,-116.06622877565549) \" x=\"200.00204\" xml:space=\"preserve\" y=\"43.72636\">}<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"211\" xml:space=\"preserve\" y=\"45.25\">12 tu\u1ed5i<\/text> <\/g> <\/svg><\/span>.<\/p>T\u1ed5ng s\u1ed1 ph\u1ea7n b\u1eb1ng nhau là 3 + 1 = 4 (ph\u1ea7n).<\/p>N\u0103m nay s\u1ed1 tu\u1ed5i c\u1ee7a anh là 12 : 4 x 3 = 9 (tu\u1ed5i).<\/p>5 n\u0103m n\u1eefa s\u1ed1 tu\u1ed5i c\u1ee7a anh là 9 + 5 = 14 (tu\u1ed5i).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2025-01-27 08:50:35","option_type":"txt","len":0},{"id":"4188","post_id":"8365","mon_id":"1159414","chapter_id":"1159495","question":"N\u0103m nay t\u1ed5ng s\u1ed1 tu\u1ed5i c\u1ee7a hai anh em là 12 tu\u1ed5i. Bi\u1ebft s\u1ed1 tu\u1ed5i c\u1ee7a anh g\u1ea5p 3 l\u1ea7n s\u1ed1 tu\u1ed5i c\u1ee7a em. H\u1ecfi sau bao nhiêu n\u0103m n\u1eefa thì em 10 tu\u1ed5i?<\/p>","options":["A.<\/strong> 7 n\u0103m","B.<\/strong> 5 n\u0103m","C.<\/strong> 6 n\u0103m","D.<\/strong> 8 n\u0103m"],"correct":"1","level":"3","hint":"","answer":"Ch\u1ecdn A.<\/strong> 7 n\u0103m.<\/span><\/p>Ta có s\u01a1 \u0111\u1ed3 <svg height=\"100\" width=\"270\"> <g> <title><\/title> <rect fill=\"#aaffff\" height=\"102\" id=\"canvas_background\" width=\"272\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"5\" xml:space=\"preserve\" y=\"28.25\">Anh<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"5\" xml:space=\"preserve\" y=\"70.25\">Em<\/text> <g id=\"svg_6\"> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"62\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"103\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <g id=\"svg_10\"> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"144\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"144\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <g id=\"svg_14\"> <line fill=\"none\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"62\" y1=\"57.25\" y2=\"71.25\"><\/line> <line fill=\"none\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"62\" x2=\"103\" y1=\"64.25\" y2=\"64.25\"><\/line> <line fill=\"none\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"103\" x2=\"103\" y1=\"57.25\" y2=\"71.25\"><\/line> <\/g> <g id=\"svg_18\"> <line fill=\"none\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"144\" y1=\"13.25\" y2=\"27.25\"><\/line> <line fill=\"none\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"144\" x2=\"185\" y1=\"20.25\" y2=\"20.25\"><\/line> <line fill=\"none\" id=\"svg_17\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"185\" x2=\"185\" y1=\"13.25\" y2=\"27.25\"><\/line> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(1.4984692335128784,0,0,4.064061024264811,-103.20149991625112,-116.06622877565549) \" x=\"200.00204\" xml:space=\"preserve\" y=\"43.72636\">}<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"211\" xml:space=\"preserve\" y=\"45.25\">12 tu\u1ed5i<\/text> <\/g> <\/svg><\/span>.<\/p>T\u1ed5ng s\u1ed1 ph\u1ea7n b\u1eb1ng nhau là 3 + 1 = 4 (ph\u1ea7n).<\/p>N\u0103m nay s\u1ed1 tu\u1ed5i c\u1ee7a em là 12 : 4 x 1 = 3 (tu\u1ed5i).<\/p>V\u1eady \u0111\u1ec3 em 10 tu\u1ed5i thì c\u1ea7n s\u1ed1 n\u0103m là 10 – 3 = 7 (n\u0103m).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2025-01-27 08:53:19","option_type":"txt","len":0},{"id":"4191","post_id":"8365","mon_id":"1159414","chapter_id":"1159495","question":"T\u1ed5ng c\u1ee7a hai s\u1ed1 100. Bi\u1ebft s\u1ed1 l\u1edbn g\u1ea5p 4 l\u1ea7n s\u1ed1 bé. H\u1ecfi s\u1ed1 l\u1edbn h\u01a1n s\u1ed1 bé bao nhiêu \u0111\u01a1n v\u1ecb?<\/p>","options":["A.<\/strong> 20 \u0111\u01a1n v\u1ecb","B.<\/strong> 40 \u0111\u01a1n v\u1ecb","C.<\/strong> 60 \u0111\u01a1n v\u1ecb","D.<\/strong> 80 \u0111\u01a1n v\u1ecb"],"correct":"3","level":"3","hint":"","answer":"Ch\u1ecdn C.<\/strong> 60 \u0111\u01a1n v\u1ecb.<\/span><\/p>Ta có s\u01a1 \u0111\u1ed3 <svg height=\"100\" width=\"350\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#ffd4aa\" height=\"102\" id=\"canvas_background\" width=\"352\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><image height=\"72\" id=\"svg_1\" width=\"252\" x=\"3\" xlink:href=\"data:image\/png;base64,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\" y=\"11\"><\/image> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"256\" xml:space=\"preserve\" y=\"49\">100 \u0111\u01a1n v\u1ecb<\/text> <\/g> <\/svg><\/span>.<\/p>T\u1ed5ng s\u1ed1 ph\u1ea7n b\u1eb1ng nhau là 4 + 1 = 5 (ph\u1ea7n).<\/p>S\u1ed1 l\u1edbn là 100 : 5 x 4 = 80 (\u0111\u01a1n v\u1ecb).<\/p>S\u1ed1 bé là 100 – 80 = 20 (\u0111\u01a1n v\u1ecb).<\/p>V\u1eady s\u1ed1 l\u1edbn h\u01a1n s\u1ed1 bé là 80 – 20 = 60 (\u0111\u01a1n v\u1ecb).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2025-01-27 09:08:42","option_type":"txt","len":1}]}