SOLUTION: If at a party every person gives a gift to each other& total number of gift taken is 132. The number of guests in the party is

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Question 880201: If at a party every person gives a gift to each other& total number of gift taken is 132. The number of guests in the party is

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(132)=11.48
We want two integers close to 11.48 that differ by one and multiply to 132
a-b=1
a=1+b
a*b=132
(1+b)*b=132
b^2+b=132
b^2+b-132=0

Since a gift from a to b is not the same as a gift from b to a
Each of 12 people give gifts to the 11 others.
12*11=132