SOLUTION: find the smallest number so that if 2 is added to twice the number,its digits are reversed.

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Question 473650: find the smallest number so that if 2 is added to twice the number,its digits are reversed.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the smallest number so that if 2 is added to twice the number,
its digits are reversed.
:
Let x = the original no. 10's digit
Let y = the units
:
The equation:
2(10x+y) + 2 = 10y + x
20x + 2y + 2 = 10y + x
20x - x + 2 = 10y - 2y
19x + 2 = 8y
y = 19%2F8x + 2%2F8
y = 19%2F8x + 1%2F4
substitute single digit values for x, starting with 1, you can see that x=2 gives an integer value of y = 5
:
The original number is 25, and it checks out 2(25) + 2 = 52