Question

⭐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!

Answer 1

Let's say there are n number of children. Anyone child will give gifts to everybody except to himself.... Therefore anyone child gives away

n-1gifts

Total gifts will be

number of children *number of gifts given away by one child

Answer 2

Let total number of children present in the school be x,


number gifts given by x students = x - 1


[ where each student gifts to the rest. If we do it practically, we will get the number of gifts 1 lesser than the number of students. ]



So, number of gifts = total number of students × gift given to rest



= > 132 = x( x - 1 )

= > 132 = x² - x

= > x² - x - 132 = 0

= > x² - 12x + 11x - 132 = 0

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

= > x = 12 or - 11



Number of students can't be negative, so x = 12


Therefore, total number of students = 12
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