Question
If '57x8y' is a five-digit number which is divisible by 72,
then find the value of (5x - y).Solution
ATQ,
Since, 72 = 9 × 8
So, the given number must be divisible by both 9 and 8.
Divisibility by 8:
Last three digits of the number (x8y) must be divisible by 8.
For x = 1 and y = 6, the number "186" is divisible by 8.
Divisibility by 9:
Sum of the digits (5 + 7 + 1 + 8 + 6 = 27) must be divisible by 9, which it is.
Hence, x = 1, y = 6
And, 5x - y = 5 × 1 - 6 = 5 - 6 = -1
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