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16 November, 00:30

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

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  1. 16 November, 02:01
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    We take each number as x = 2x 3x 4x

    (2x) ³ + (3x) ³ + (4x) ³=33957

    8x³+27x³+64x³=33957

    99x³=33957

    x³=33957:99

    =∛343

    x=7

    2x=2*7=14

    3x=3*7=21

    4x=4*7=28

    =the three numbers are 14,21,28
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