If 21358ab is divisible by 99 , find the values of a and b
Answers
Answered by
25
2135826 this is the answer for your question
a=2 b=6
a=2 b=6
Answered by
29
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
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
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