Q122 of 142 Page 88

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

Given: Difference of two perfect cubes = 189.

The cube root of the smaller of the two numbers = 3


The cube of the smaller of the two numbers = 33 = 27


Let the other number = x


Acc. To given condition:


i.e. x3 – 27 = 186


⇒ x3 = 186 + 27


⇒ x3 = 216


⇒ x3 = 63


⇒ x = 6


Then, the cube root of the greater of the two numbers = 6


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