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5. If 923x783 is divisible by 11, what is the value of x..
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Answers
Answer:
if it is divisible by 11
then
9+3+7+3-(2+x+8) =0 or 11
12-x=0
x=1
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gys
Divisibility rule for 11:
If in any number the sum of the numbers in the even positions = sum of the odd numbers in the odd positions, then the number is divisible by 11. Alternatively, the difference of the sum of the numbers in even positions and the sum of the numbers in the odd positions = 11
so the sum of digits in odd positions=3+7+3+9
=22
sum of digits in even positions =2+x+8
= 10+x
so
(sum of digits in odd positions)-(sum of digits in even positions)=22-(10+x)
=12-x
so, x=1
or x=12 which is not possible
so x=1
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