SOLUTION: Aunt Amelia had been a good schoolteacher in the days of the little red schoolhouse, and she still remembered. "That's a big secret, but you can figure it out if you really want t

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Question 140380: Aunt Amelia had been a good schoolteacher in the days of the little red schoolhouse, and she still remembered.
"That's a big secret, but you can figure it out if you really want to know, she told Tony in reply to his question. If you switch the two figures of my age, reverse their order, you'll get a third of what my age was five years ago. You try!"

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If you switch the two figures of my age, reverse their order, you'll get a third of what my age was five years ago.
:
Let x = 10's digit of the present age
Let y = units digit
:
Reverse order = one third present age - 5 yrs
10y + x = 1%2F3((10x + y)-5)
:
Multiply equation by 3:
3(10y+x) = 10x + y - 5
30y + 3x = 10x + y - 5
30y - y = 10x - 3x - 5
29y = 7x - 5
Look for an integer solution to this equation (there won't be many)
y = 2
58 = 7x - 5
58 + 5 = 7x
63 = 7x
x = 63%2F7
x = 9
:
Her present at is 92
:
Check solution using the statement:
"switch the two figures of my age, you'll get a third of what my age was five years ago."
29 = 1%2F3(92 - 5)
29 = 1%2F387
29 = 29