D and F represents two distinct digits. If the number 457D89F is divisible by 36 then what is the value of (D+F)?
Don't have the OA and the answer choices
Don't have the OA and the answer choices
Hi,
For the number to be divisible by 36, it has to be divisible by 9 and 4.
457D89F is divisible by 4 -> 9F is divisible by 4. So, F can be 2 or 6
457D89F is divisible by 9 -> (4+5+7+D+8+9+F) is divisible by 9. So, 33+(D+F) should be divisible by 9
So, D+F can be 3 or 12
D+F = 3 => F = 2, D = 1
D+F = 12 =>F = 6, D = 6
As D and F are distinct, F=2, D=1 is the only solution.
So, D+F = 3.
