one positive number is 10 more than twice another. product is 100. find the numbers

Answer 1

Let x = the smaller number

Let 2x + 10 = the larger number

x(2x + 10) = 100

2x^2 + 10x - 100 = 0

Divide both sides of the equation by 2.

x^2 + 5x - 50 = 0

(x - 5)(x + 10) = 0

x - 5 = 0 or x + 10 = 0

x = 5 or x = -10, not a positive number

2x + 10 = 2(5) + 10 = 20