Question

in a group of children ,each child gives a gift to every other child .if the number of gifts is 2450 ,then the number of children is

Answer 1

Answer:

50

Step-by-step explanation:

let the number of children be x.

so, it makes the number of gifts per children have = (x - 1)

given number of gifts = 2450

As Per Condition given in the condition,

x(x - 1) = 2450

⇒ x² - x = 2450

⇒ x² - x - 2450 = 0

⇒ x² - 50x +49x - 2450 = 0

⇒ x(x - 50) + 49(x - 50) = 0

⇒ (x - 50)(x + 49) = 0

⇒ x = 50, -49

number of children cannot be negative.

so, number of children = x = 50