# What is the woman age? If

A woman says, “If you reverse my own age, the figures represent my husband’s age . He is, of course, senior to me and the difference between our ages is one- eley- enth of their sum” . The woman’ age is

- 23 yrs
- 34 yrs
- 43 yrs
- 45 yrs

**Answer: (4) 45 years**

**Explanation:-**

Let x and y be the ten’s and unit’s digits.

Then, woman’s age = (10X + y) years and husband’s age = (10Y + X) years.

Therefore, (10Y + X) – (10X + Y) = (1/11)(10Y + X + 10X + Y)

10Y + X – 10X – Y = (1/11)(11X + 11Y)

9Y – 9X = (1/11)(11Y + 11X)

9Y – 9X= X + Y

8Y = 10X

X = 4Y/5

Y should be a single-digit multiple of 5

So, X = 4 and Y = 5

Hence, the woman’s age = 10 x 4 + 5 = 40 + 5 = 45 years.