Correct Answer - Option 2 : 48 yr
The sum of ages of a daughter and mother is 63 yr.
Let the age of daughter be A and the age of the mother be B.
A + B = 63
Four years back.
A - 4 and B - 4
This means A + B = 55 (after deduction 4 years from both mother and daughter.)
Four years back mother's age was 4 times that of the daughter's age at that time
If the daughter's age is 1x yr then the mother's age is 4x years.
Adding both the ages, we get 5x yr.
5x = 55
x = 11
Then, Four years back the age of the daughter was 11yrs and the mother was 44 years old
At present,
Daughter is of age 11 + 4 = 15 yrs.
Mother is of age 44 + 4 = 48 yrs.