Question

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

Answer 1

Let the first number be x and the second number is 27 - x. It is given that the product of these numbers is 182. Therefore, the numbers are 13 and 14

Answer 2

Answer:

Let the first number be x then the second number will be 27−x.

$x(27-x)=182$$

⇒27x−x²=182⇒x²

−27x+182=0⇒x²

−13x−14x+182=0

⇒x(x−13)−14(x−13)=0

⇒(x−14)(x−13)=0

⇒x=14,13

If the first number is 14, then the second number is 13 and if the first number is 13, then the second number is 14.