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Two numbers when divided by 17, leave remainders 13 and 11 respectively.If the sum of those numbers is divided by 17, then what will be the remainder?

Two numbers when divided by 17, leave remainders 13 and 11 respectively.If the sum of those numbers is divided by 17, then what will be the remainder?

Grade:9

1 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
The 2 no.s can be written in the form of 17n+13 and 17m+11.n.m belong to integers.
Sum =17(m+n)+24
This number when divided by 17 would leave a remainder 7 as

Sum= 17(m+n)+17+7
= 17(m+n+1)+7
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