CAN YOU SOLVE THIS ???

Number Theory Level pending

The five digit number a679b is a multiple of 72.Then the value of a+b is

1 solution

Sujoy Roy
Dec 6, 2014

Sum of the five digit number must be divisible by $9$ .

So, $(a+6+7+9+b) \mod 9 = 0$

or, $(a+b+4) \mod 9 = 0$

or, $(a+b) = \boxed{5}$