Question

Find X and Y when 2856354XY is divisible by 99 .

Please explain as well.

Answer 1

Answer:

here is your answer

Step-by-step explanation:

21358AB ÷ 99

11×9=99

Multiples of 9,11

divisibility rule of 9 =>sum of all digits =multiple of 9

2+1+3+5+8+A+B=multiple of 9

19+A+B=multiple of 9 (above 19)

above 19====27

27-19=8

0+8}

1+7}

2+6} 8

3+5}

4+4}

divisibility rule of 11=> sum of even number - sum of odd numbers

even numbers =A+5+1

=6+A

odd numbers =B+8+3+2

=13+B

so, 6+A=13+B

=(13+6)-(6+2)

=19-8

=11

11 is multiple of 11

so,

A=2

B=6