⭐At a party, each child gives a gift to the rest. there were 132 gifts given at the party. find the number of children⭐CLASS 10 CHAPTER : QUADRATIC EQUATIONS (BASED ON MISCELLANEOUS) ❌NO SPAM❌BEST ANSWER WILL BE MARKED AS BRAINLIEST!
Answers
Answer:
12
Step-by-step explanation:
Let n be the number of children
Number of gifts per children = n-1 (Since no one will gift himself of herself)
Total number of gifts = no. of children × number of gifts per children
Since we are given that he no. gifts are 132
So, 132 = n(n-1)
132 = n^2 - n
n^2 - n - 132 = 0
n^2 - 12n + 11n - 132 =0
(n-12) (n+11) =0
n=12, n=-11
Since number of children can not be negative
Therefore number of children is 12
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Step-by-step explanation:
Let the number of children be x.
No. of gifts given by each children = x-1.
Total No. of gifts = x (x-1)
x(x-1) = 132
x²-x= 132
x²-x-132=0
x²-12x+11x-132=0
x(x-12) +11 (x-12) =0
(x-12) (x+11)=0
x=12
Hence, the number of children=12