Question

Cholce Type Question
Marks :
357XY is divisible by 90. Find the value of (X-Y)2 ?​

Answer 1

Step-by-step explanation:

According to you question :-

There is a number 573xy which is divisible by 90

As 90 can be written as 9*10

Therefore the no. has to be divisible by 10 as well as 9.

If it has to be divisible by 10 the last digit must be zero , that's the rule

Because

573x * 10 = 573x0

573x0 is now divisible by 10.

And therefore y has to be 0.

A no. is divisible by 9 only if the sum of its digits is divisible by 9

So,

5+7+3+x+0. It must be divisible by 9

15+x must be divisible by 9

And we know that 18 is divisible by 9

So ,

15+x=18

Therefore x=3

You can also think think that 27 is also divisible by 9 so instead of 18 why not put 27

In that case 15+x=27

And x comes as 12

But as x is a one digit number the value of x has to be less than or equal to 9

So the value of x has to be 3

And the value of x+y will be

=3+0

Which is equal to 3

so x=3 and y=0

then,

(x-y)2= 3-0×2

=6

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