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

By Quinn

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

About the author
Quinn

difference between the parmanent settlement , mahalwari settlement and ryotwari system

help me then I will folow up

Find the smallest number by which 9408 must be divided so that it becomes a perfect square

1 thought on “Three numbers are in the ratio of 2 : 3:4. The<br /> sum of their cubes is 33957. Find the numbers.<br />”

  1. Answer:

    check the answer below!!

    Step-by-step explanation:

    let the numbers be 2x, 3x and 4x…

    (2x)^3 + (3x)^3 + (4x)^3 = 33957

    8x^3 + 27x^3 + 64x^3 = 33957

    99x^3 = 33957

    x^3 = 33957 ÷ 99

    x = 3√343

    = 7

    the numbers are,

    2x = 2×7 = 14

    3x = 3×7 = 21

    4x = 4×7 = 28

    So,

    14, 21 and 28 are the numbers…

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