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Three numbers are in the ratio 2:3:4 and the sumof their cubes is 33957. What are those threenumbers ? |
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Answer» Let the numbers be 2x, 3x and 4xsum of cubes = 33957⇒(2x)³ + (3x)³ + (4x)³ = 33957⇒8x³ + 27x³ + 64x³ = 33957⇒99x³ = 33957⇒x³ = 33957/99 = 343⇒x =∛343 = 7 Numbers are:2x = 2×7 = 143x = 3×7 = 214x = 4×7 = 28 Numbers are: 2×=2×7=143×=3×7=214×=4×7=28 correct answer is 14,21,28 |
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