Q119 of 142 Page 88

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Given:

Let the three numbers are 1x, 2x and 3x


Acc. To given condition:


i.e (1x)3 + (2x)3 + (3x)3 = 4500


⇒ (x)3 + 8(x)3 + 27 (x)3 = 4500


⇒36(x)3 = 4500


⇒ (x)3 = 125 = 53


⇒ x = 5


Hence, numbers are 1(5) = 5


2(5) = 10


3(5) = 15


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