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Question 769888: there are 100 sweets ,which have to divided into 5 people ,in such way that each person got that sweet in odd number?
Answer by ramkikk66(644) (Show Source):
You can put this solution on YOUR website!
there are 100 sweets ,which have to divided into 5 people ,in such way that each person got that sweet in odd number?
Ans:
This is NOT possible. Here's why.
Assume that you give some number of odd sweets to the 1st 4 people (any odd
number). The sum of the 4 odd numbers *has* to be an even number, because sum of
any 2 odd numbers is even.
So the 5th person will get (100 - an even number) which can be only an even
number. Because 100 is an even number, and the difference of any 2 even numbers
is always an even number.
So whatever odd numbers you choose, the 5th person will only get an even number
of sweets. So it is impossible to give 100 sweets to 5 people with each of them
getting an odd number.
Hope you got it :)
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