Question

The product of 2 consecutive positive integers is 5 more than their sum. Find the integers

Answer 1

3 and 4.
Sum = 7.
Product = 12.

Answer 2

Let the 2 integers be x and y

xy = 5 + x + y

since they are consecutive, let x be the first number and y be the second number.
we can rewrite y as x+1(Consecutive integers)

So our new equation is

x(x + 1) = 5 + x + x + 1
x^2 + x = 6 + 2x

x^2 - x - 6 = 0

(x + 2)(x - 3) = 0

So x = 3 and -2

SInce we are interested in the positive integer we go with, x = 3

so my y = 4


the two integers = 3 and 4