96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

A 42

B 54

C 46

D 58

Solution

Correct Answer: Option A

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.