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

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) (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 = ((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 =
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 = (92 - 5)
29 = 87
29 = 29
RELATED QUESTIONS
Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for the (answered by Theo)

An engineer was told that a survey had been made on a certain rectangular field but the... (answered by josmiceli)

Brenda and her family were driving to her grandmother�s house during a holiday. During (answered by josmiceli)

Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for the (answered by wuwei96815)

betty is flying a kite she has 150 feet of string out and the string makes a angle of 65... (answered by scott8148)

I am confused on this problem and don't know even where to start. Please help. f(x)=... (answered by richwmiller)

I have been over this one for two days now (messing with my weekend) and I still cant... (answered by scott8148)

It costs 500 dollars to have a booth at the fair for one day and 2.75 dollars for Aunt... (answered by fcabanski)

A schoolteacher is concerned that her students watch more TV than the average American... (answered by stanbon)