Question

The product of two consecutive positive integers is 1 more than their sum. Find the integers

Answer 1

let x be first number
x+1 = consecutive number
x(x+1) = 1 + (x + x + 1)
x^2 + x = 2 + 2x
x^2 - x -2 = 0
(x-2)(x+1) = 0
x = 2 x = -1
but since you're looking for positive..we take x = 2
so x+ 1 = 3

Answer 2

Thanks