# In a group of children each child gives a gift to others if the no of the gift is 132 fid the no of children?

2
by guptikeelsw

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by guptikeelsw

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Total number of gift=total number of children*number of gifts per child

n(n-1)=132

if we solve we get n=-11 and n=+12

n can not be negative. so,

n=12

therefore, no. of children is 12.

So, the number of gifts each child will get = x-1 (He will not gift himself, that's why one less)

So, total number of gifts = x*(x-1)

Therefore,

x*(x-1)= 132

x²-x = 132

x²-x-132 = O

(x-12)(x+11)=0

So, x= 12, -11

Now, the number of children can't be negative.Therefore, number of children is 12.

Hope it helps !!!