Question

Solution of 6a+b2=97 where a and b are digits then the valies of a and b are ?

Answer 1

$6a + 2b = 97$
This equation has no solution in integers as 6a and 2b are both even numbers and 2 even numbers always add to give an even number.
Since 97 is an odd number, LHS can never be equal to RHS until a and b both are integers.