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.
A) 25 years
B) 65 years
C) 45 years
D) 75 years
E) 95 years
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.   View Answer Discuss in Forum   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?