find the intergers

Question

Twice the smallest of three consecutive odd integers is eleven more than the largest. Find the integers. (Enter your answers as a comma-separated list.)

Answer 1

Set the integers up into variables:

The 3 integers are x, x+2, and x+4 (because they are consecutive odd integers).

 

Then break down the sentence into the equation:

Twice the smallest (2x) is (=) eleven more (11+) the largest (x+4).

 

Assemble the equation:

2x=11+x+4

 

Solve for x! Then plug that back into your variables to get the 3 integers.