Question
If '48x2y' is a five-digit number which is divisible by 72,
then find the value of (x - 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 (x2y) must be divisible by 8.
For x = 5 and y = 4, the number "524" is divisible by 8.
Divisibility by 9:
Sum of the digits (4 + 8 + 5 + 2 + 4 = 23) must be divisible by 9, which it is not.
Adjusting the values, for x = 3 and y = 6, the number "326" is divisible by both.
Hence, x = 3, y = 6
And, x - y = 3 - 6 = -3
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