Question

The three numbers are in the ratio of 2:3:5. The sum of their cubes is 34560. find the number .

Answer 1

let the numbers are 2x ,3x,5x

2x^3 + 3x^3 + 5x^3 = 34560

8x^3 + 27x^3 + 125x^3 = 34560

160x^3 = 34560

x^3 = 34560/160

x^3 = 216

x = 6

2x = 2×6 = 12
3x = 3×6 = 18
5x = 5×3 = 15

Hence numbers are 12, 18 and 15


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