# What is Age of B Today? If

The ratio of ages of A and B 10 years ago was 3 : 5. If the ratio of their present ages is 2:3, how old is B today?

- 40 years
- 30 years
- 60 years
- 24 years

**Answer: (c) 60 years
Explanation:-**

Let the age of A = X years and the age of B = Y years

According to question, (X – 10)/(Y – 10) = 3/5

5X – 50 = 3Y – 30

5X – 3Y = 20 …………………….(1)

Again, X/Y = 2/3

3X = 2Y

3X – 2Y = 0 ……………………….(2)

Solve equation (1) and (2)

X = 40 and put the value of X In equation (1)

5 x 40 – 3Y = 20

– 3Y = 20 – 200

3Y = 180

Y = 60