Question

Write and solve an equation to find three consecutive integers such that three times the sum of the first two integers is the same as thirteen more than four times the third integer.

Answer 1

Let the integers be x, x+1, and x+2
3(x+x+1)=13+4(x+2)
3(2x+1)=13+4x+8
6x+3=4x+21
2x=18
x=9

the integers are 9,10,11