A number N when divided by 14 gives remainder 5. What is the remainder the same number is divided by 7?
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Let the number be X
Since dividing the number gives remainder as 5, X can be written as 14*Y + 5
where Y will be the quotient on dividing X by 14.
X = 14*Y + 5
X = 2*7*Y + 5
Lets divide both sides by 7 (since we want to know the remainder when X is divided by 7)
X/7 = (2*7*Y)/7 + 5/7
X/7 = 2*Y + 5/7
Since Y is a whole number (quotient), thus 2*Y will also be a whole number and what remains is 5/7.
Thus, the remainder is 5 when X is divided by 7.
princess721:
thanks
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