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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 |
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Answer» Answer: 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 |
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