Question

find two numbers whose sum is 27 and product is 182

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the required 1st number be x.

And the 2nd number be (27 - x).

According to the Question,

⇒ x(27 - x) = 182

⇒ 27x - x² = 182

⇒ x² - 27x + 182 = 0

⇒ x² - 27x + 182 = 0

⇒ x² - 13x - 14x + 182 = 0

⇒ x(x - 13) - 14(x - 13) = 0

⇒ (x - 13) (x - 14) = 0

⇒ x - 13 = 0 or x - 14 = 0

⇒ x = 13 or x = 14

Hence, the required numbers are 13 and 14.