Question

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value
of y, is:

Answer 1

If the number is divisible by 88, it must also be divisible by 8 and 11.

By the divisibility test of 8, we know that the last 3 digits must be divisible by 8, i.e. - 5y2

This number is only divisible by 8 only if y=1 or y=9

But we have to use the smallest value of y, so y=1

Using the divisibility rule of 11,

(4+x+1+5+2)  - (3+1+4+1) must be divisible by 11

12 + x - 9 must be divisible by 11

3+x must be divisible by 11, hence x=8

The value of 3x-2y = 24-2 = 22

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Answer 2

Answer:

Ans is 22 . for x = 8 ,y = 1 .

Look in attached pic u"ll understand well...

hope it's help.

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