Question
If '81x4y' is a five-digit number which is divisible by 72,
then find the value of (3x + 5y).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 (x4y) must be divisible by 8.
For x = 3 and y = 2, the number "342" is divisible by 8.
Divisibility by 9:
Sum of the digits (8 + 1 + 3 + 4 + 2 = 18) must be divisible by 9, which it is.
Hence, x = 3, y = 2
And, 3x + 5y = 3 × 3 + 5 × 2 = 9 + 10 = 19
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