# What will be Their Respective Ratio of Age after five years? If

The ratio of A’s age to B’s age is 3:8. The sum of their ages is 55 years. What will be their respective ratio of age after five years?

- 4:9
- 9:4
- 8:3
- 8:13

**Answer: (1) 4 : 9**

**Explanation:-**

Let be the age of A & B = 3 X & 8 X.

The sum of their age = 3 X + 8 X = 55

11 X = 55

X = 55/11

X = 5

Then, the age of A & B = 3 X = 3 x 5 = 15 years & 8 X = 8 x 5 = 40 years

Their after five years,

Age of A & B = 15 + 5 = 20 years & 40 + 5 = 45 years.

Their ratio of ages after five years = 20/45

= 4/ 9 = 4 : 9

Hence, the answer is (1) 4 : 9.