when a number is being divided by 27 the remainder obtained is 17. what will be remainder if the same number is divided by 9
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Let the number be N, and quotient be n
Since when we divided a certain number by 48, we get a remainder 31,
We have N = 48(n) + 31 where 'n' is the quotient got by dividing number by 48
We can write
N=24×2×n+31
=24×(2n)×24+7
=24(2n+1)+7
So, when we divide N by 24, remainder left is 7
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