What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.

Answer 1

let the integers be a-1,a,a+1

(a-1)a = 5(a+1)-5
a = 6

the numbers are 5,6,7
check: 5*6 = 5*7-5