Explanation:

Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.

Then, woman's age = (10X + y) years; husband's age = (10y + x) years.

Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)

 (9y-9x) = (1/11)(11y + 11x) = (x + y)  10x = 8y  x = (4/5)y

Clearly, y should be a single-digit multiple of 5, which is 5.

So, x = 4, y = 5.

woman's age = 10x + y = 45 years.

Hence, option 3 is the correct answer.