Question

A says to B, "I am 5 times as old as you were when I was as old as you are". The sum of their present ages is 64 years, then the age of A at present is

• A. 35 years
• B. 40 years
• C. 38 years
• D. 45 years

Answer 1

The correct option is B 40 years

Let present A’s age $=x$

B’s age $=y$

According to the question,

$x=5(2y-x)$ …… (1)

Since,

$x+y=64$ …… (2)

On solving equation (1) and (2), we get

$x=40$

$y=24$

Hence, the present age of A is $40$ years.