Question

Find two numbers where sum is 27 and product is 182.​

Answer 1

Answer:

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

$x(27-x)=182$$

⇒27x−x

2

=182

⇒x

2

−27x+182=0

⇒x

2

−13x−14x+182=0

⇒x(x−13)−14(x−13)=0

⇒(x−14)(x−13)=0

⇒x=14,13

Answer 2

The two numbers are 13 and 14.