Three nos. are in the ratio of 2:3:5. The sum of their cubes is 54880. Find the nos.

Hint: (2x)³+ (3x)³+ (5x)³=54880

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Solution

Let numbers are 2x 3x 5x take cube of each and add them then we get
(2x)³+ (3x)³+ (5x)³=54880
160x^3 = 54880
i.e. x = 7
so numbers are 14, 21, 35

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