SOLUTION: I am 13 years old, and my coach is 31 years old, which is my age with the digits reversed. What is the fewest number of years in which the digits of our ages will be reversed agai

Question 234036: I am 13 years old, and my coach is 31 years old, which is my age with the digits
reversed. What is the fewest number of years in which the digits of our ages will be reversed again?
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I am 13 years old, and my coach is 31 years old, which is my age with the digits
reversed. What is the fewest number of years in which the digits of our ages will be reversed again?
-----------
11

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I am 13 years old, and my coach is 31 years old, which is my age with the digits
reversed.
What is the fewest number of years in which the digits of our ages will be reversed again?
:
The difference ages = 18
:
Let x = First digit of your age
Let y = 2nd digit of your age
:
You are 13, therefore a simple equation
y = x + 2
:
Substitute values for x
when x = 1, y = 3; 13, 31 the original ages
when x = 2, y = 4; 24, 42 is the next time the ages are reversed
:
Note that difference between reversed numbers is always multiples of 9
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