Question

The difference in the age of two people is 20 years. If 5 years ago, the elder one of the two was 5 times as old as the younger one, what is the present age of the younger one ?

• A. 15 years
• B. 10 years
• C. 30 years
• D. 20 years

Answer 1

The correct option is B 10 years

Let the age of Older one be $x$

The age of Younger be $y$

The difference in age is $x-y=20x=y+20$

5 years ago ages will be $y+15,y-5$

The elder one is $5$ times younger one

So $y+15=5(y-5)y+15=5y-254y=15+254y=40y=10$

So the age of younger one is $10$ yrs