Fareeha is 4 years older than her younger sister. After 10 years, the sum of theirs ages will be 48 years. Find the present age of Fareeha?

18 years

12 years

16 years

None of these

Let the younger sister's present age be x.

Fareeha's present age = x + 4

After 10 years:

Younger sister's age = x + 10

Fareeha's age = x + 4 + 10 = x + 14

Given:

x + 10 + x + 14 = 48

2x + 24 = 48

2x = 24

x = 12

Fareeha's present age = x + 4

= 12 + 4

= 16 years