# Find the Present Age of Alka? If

Present age of Alka is 8 times of her daughter’s age. 8 year hence, the ratio of the ages of Alka and her daughter will be 10:3. Find the present age of Alka?

- 30 years
- 35 years
- 36 years
- 32 years

**Answer: (4) 32 years
Explanation:-**

Let the present age Alka’s daughter = X years

Present age of Alka is 8 times of her daughter’s age.

Then, The present age Alka’s mother = 8 X years

8 years hence,

The ratio of the ages of Alka and her daughter will be 10:3.

Then, (8 X + 8 ) / (X + 8 ) = 10 / 3

By cross multiplication,

3 x 8 X + 8 x 3 = 10 x X + 10 x 8

24 X + 24 = 10 X + 80

24 X – 10 X = 80 – 24

14 X = 56

X = 56 / 14

X = 4 years

Then, the age of Alka 8 X = 8 x 4 = 32 years

Hence, the present age of Alka is 32 yeras.