# What will be the Ratio of Their Ages After 5 years? If

The average age of a mother and daughter is 21 years. The ratio of their respective age is 5:1. What will be the ratio of their ages after 5 years?

- 10:3
- 5:2
- 4:1
- 3:1

**Answer: (A) 10: 3
Explanation:-**

The average age of a mother and daughter = 21 years

Sum of their age = 2 x 21 = 42

Let be the age of mother and daughter = 5X and X

Then, 5X + X = 42

6X = 42

X = 42/6

X = 7

Thus the age of mother and daughter = 5 x 7 and 7

= 35 years and 7 years

After 5 years their age = 35 + 5 and 7 + 5

= 40 years and 12 years

Therefore, the ratio of their age = 40/12

= 10: 3

Hence, the ratio of their ages after 5 years is 10: 3.