Question

One positive number is 2 more than twice another. Their product is 180.

Step 2 of 2 : Find the numbers by solving the equation.

Answer 1

9 and 20

Explanation:

x = one number

y = 2x+2 = other number

xy = 190

x(2x+2) = 180

2x^2 +2x = 180

2x^2 +2x- 180 = 0

Factor out 2

x^2 +x -90 = 0

(x+10)(x-9) =0

Using the zero product property

x+10 = 0 x-9=0

x= -10 x=9

But they have to be positive

x = 9

y = 2x+2 = 2(9)+2 = 18+2 = 20