Question

each child of a group gives a gift to other children total number of gifts are 110 find the number of children in the group​

Answer 1

Answer:

let no. of children be x

no. of gifts =x-1

x(x-1)=110

x^2-x-110=0

x^2-11x+10x-110=0

x(x-11)+10(x-11)=0

x=11 or -10

therefore x=11

Step-by-step explanation:

Answer 2

Answer:

There are total 11 students in the group.

Step-by-step explanation:

Explanation:

Given, each child of a group gives a gift to other children.

Let x be the total number of children in the group.

So, each  child gives the gift to total of (x−1) children.

Step 1:

Therefore, x(x - 1) = 110

⇒$x^2 - x = 110$

⇒$x^2 - x - 110 = 0$

⇒$x^2 - 11x +10x -110 = 0$

⇒x (x - 11) + 10(x - 11) = 0

⇒(x - 11) (x + 10) = 0

⇒ x = 11 and x = -10.

Here we take  the value of x = 11

Final answer:

Hence, total number of children in the group is 11.

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