a,b and c are 3 different digits of the number ABC where a,c is not equal to zero. the number got by reversing the digits is added to ABC and the sum is a perfect square. find all such 3 digit numbers.

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- Oct 8th 2012, 02:41 AMgeniusgarvilhelp me out
a,b and c are 3 different digits of the number ABC where a,c is not equal to zero. the number got by reversing the digits is added to ABC and the sum is a perfect square. find all such 3 digit numbers.

- Oct 8th 2012, 05:58 AMStefanTMRe: help me out
Hi,

100*a+10*b+c+

100*c+10*b+100*a =

101*(a+c)+20*b

Prove

a+c =3,4,5...

and b= 1,2,3,4...

and see...