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-eleventh of their sum." The woman's age is
Choose the correct choice from the following answers
A) 23 years B) 34 years C) 45 years D) 54 years E) None of these
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.   Hence, woman's age = 10x + y = 45 years.   Answer: 45 years
<result>C</result>
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-eleventh of their sum." The woman's age is