# What is the Woman’s Age?

An average age of a woman and her daughter is 16 yr. The ratio of their ages is 7:1. What is the woman’s age?

- 4 year
- 28 year
- 32 year
- 6 year

**Answer: (2) 28 years**

Explanation:-

Let the age of the daughter is X years.

An average age of a woman and her daughter = 16 years.

Then, total age of a woman and her daughter = 2 x 16 = 32 years.

Therefore, the age of her mother = (32 – X) years.

The ratio of their ages = 7 : 7

Then, (32 – X)/ X = 7 /1

32 – X = 7 X

7 X + X = 32

8 X = 32

X = 32/ 8

X = 4 years

Then, the age of her daughter is X = 4 years.

Therefore, the age of her mother = 32 – X = 32 – 4 = 28 years.

Then, the age of her mother is 28 years.

Hence, the answer is (2) 28 years.