# “I am twice as old as you were when I was as old as you are”, Find Age?

A says to B, “I am twice as old as you were when I was as old as you are”. The sum of their present ages is 63 years. What is the present age of A?

- 18 Years
- 28 Years
- 36 Years
- 45 Years

**Answer: (3) 36 years**

** Explanation:-**

Let be the present age of A = X

Difference between their age = X – (63 – X)

= 2X – 63 ……..(1)

when A was 63- X

B’s age must be = (A’s age – their age difference)

B’s past age = (63 – X) – (2X – 63)

= 126 – 3X

It is given that A’s age present age is twice of the B’s age

X = 2(126 – 3X)

X = 252 – 6X

6X + X = 252

7X = 252

X = 252/7

X = 36

Hence, the age of A is 36 years.