# A Mother is 20 years older than her daughter, 4 years before she was 5 times

A Mother is 20 years older than her daughter, 4 years before she was 5 times of her daughter’s age at that time. How old is the daughter now?

A. 9

B. 12

C. 18

D. 16

**Answer: (A) 9 **

**Solution:-**

Let the age of daughter be X years.

A mother is 20 years older than her daughter,

Then, the age of mother = ( X + 20) years

4 years before she was 5 times of her daughter’s age at the time,

(X + 20) – 4 = 5 (X – 4)

X + 20 – 4 = 5 X – 20

5 X – X = 16 + 20

4 X = 36

X = 36/4

X = 9

Then, the age of daughter is 9 years.

Hence, the correct answer is option (A) 9.