The Divisibility Problem
Number Theory
Level
1
If a679b is a five digit number that is divisible by 72, then the value of (a+b)^2 is ->
The answer is 25.
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1 solution
72 is divisible by 9 so a+6+7+9+b must equal a number divisible by 9. 6+7+9=22 the closest multiple of 9 is 27. 27-22=5 5 squared is 25