# Hitesh is 40 years old and Ronnie is 60 years old

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3: 5?

(a) 5 years

(b) 20 years

(c) 10 years

(d) 37 years

**Answer: (c) 10 years **

**Solution:-**

Hitesh is 40 years old and Ronnie is 60 years old.

Let X years ago was the ratio of their ages 3: 5.

Then,

(40 – X)/(60 – X) = 3/5

by cross multiplication,

40 x 5 – 5 X = 3 x 60 – 3 X

– 5 X + 3 X = 180 – 200

– 2 X = – 20

X = 20/2

X = 10

Then, 10 years ago was the ratio of their ages 3: 5.

Hence, the correct answer is option (c) 10 years.