Question 403728
 If abc + abc = cba in the scale of five (when abc means 5Ča + 5b + c) find the values of a, b, c 
Solution so far
Since the numbers are in the base 5 abc+abc=cba means 
(25a+5b+c) + (25a+5b+c) = 25c+5b+a 
Solving gives: 50a+10b+2c = 25c+5b+a
49a+5b = 23c 
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If you do trial and error, it wouldn't take long.
c has to be more than 2 since the LHS has a minimum value of 54 (49+5)
If you start at c = 3, the solution is simple.
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You can google Diophantie equations, too, about integer solutions.