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A number when divided by 91 gives a remainder 17 . When the same number is divided by 13 , the remainder will be:
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Given :-
A number when divided by 91 gives a remainder 17 . When the same number is divided by 13 , the remainder will be ?
Solution :-
Dividend= Divisor*Quotient + Remainder..
So,lets suppose Dividend as p , Quotient as q.
So , p= 91*q + 17 (given)
Here p is the number and 91 and 13 are divisors .
So, 91q+17 denote p .
____________________
Now, Given That, the same number is divided by 13 .
So,
→ (91q +17) / 13
Now, we know That,
→ 91 = 7*13
So, we can say That, 91q will be a factor od 13.
Hence, when we divide 17 by 13 we get,
=> (17/13) = 4 Remainder.
so , we can say that ,
=> (91q+17)/13 = 4 Remainder.
Hence, When the same number is divided by 13 , we will get remainder as 4.
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