Brain Teasers
How Old Are They?
A husband and wife have a combined age of 91. The husband is now twice as old as his wife was when he was as old as she is now. How old are they?
Answer
Husband = 52, Wife = 39.If we call the husband's age h, and the wife's w, we know:
h + w = 91 (a)
Their age difference is h - w. We know the husband is 2 * (how old his wife was when he was her age), so we need to take their age difference off his current wife's age, as follows:
2 * (w - (h - w)) = h
Simplifying this we get:
4w = 3h
plugging this back into (a) gives the required answer.
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