SOLUTION: "My hubsand's age," remarked a lady the other day, "is represented bt the figures of my own age reversed. He is my senior, and the difference between our ages is one-eleventh of th

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Question 434632: "My hubsand's age," remarked a lady the other day, "is represented bt the figures of my own age reversed. He is my senior, and the difference between our ages is one-eleventh of their sum."
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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"My husband's age," remarked a lady the other day, "is represented by the figures of my own age reversed.
He is my senior, and the difference between our ages is one-eleventh of their sum."
:
Let 10x + y = husband's age
then
10y + x = wife's age
:
"the difference between our ages is one-eleventh of their sum."
(10x+y) - (10y+x) = 1%2F11((10x+y) + (10y+x))
Removed brackets
10x + y - 10y - x = 1%2F11(10x + y + 10y + x)
9x - 9y = 1%2F11(11x + 11y)
9x - 9y = 1%2F1111(x + y)
Cancel 11
9x - 9y = x + y
9x - x = 9y + y
8x = 10y
x = 10%2F8y
x = 1.25y
only single digit integer solution: y=4, then x=5
:
Husband is 54, wife is 45