SOLUTION: find the two digit number wich has the squere of the sum of its digits equal to the number obtaind by reversing it digit ?

Question 456366: find the two digit number wich has the squere of the sum of its digits equal to the number obtaind by reversing it digit ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find the two digit number which has the square of the sum of its digits equal to the number obtained by reversing it digit?
:
Let x = the 10's digit
Let y = the units
then
10x+y = the number
:
(x + y)^2 = 10y + x
Rather than solving this equation, use some assumptions and logic
10y+x has to be perfect square which has two digits, not many of those.
Start with 81, then y=8, x=1
then 18 is the original number and sure enough (1+8)^2 = 81

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