Question

A is older than B. Taking present ages of A and B as x years and y years respectively, find in terms of x and y :

The age of B when A was of y years.

• A. $(2y-3x)$ years
• B. $(y-2x)$ years
• C. $(y-x)$ years
• D. $(2y-x)$ years

Answer 1

The correct option is D $(2y-x)$ years

Since, A is older than B, when $x$ was $y$ years old => he was $(x-y)$ years younger. This means, B was also $(x-y)$ years younger, or $=y-(x-y)=2y-x$ years old.