Question

Find two number whose sum is 27 and product is 182​

Answer 1

Solution:

Let one number be x, then other number be 27 - X

ATQ

⇒ x (27-x) = 182

⇒ x²- 27x + 182 = 0

⇒ x² -14x- 13x + 182 = 0

⇒ x (x - 14) - 13 (x - 14) = 0

⇒(x - 13) (x - 14) = 0

⇒ x - 13 = 0

or x- 14=10

⇒ x = 13

or x = 14

Hence, the numbers are 13 and 14.