Question

Twice the sum of the first and the second integer exceeds twice the third integer by thirty-two. What are the three consecutive integers?

Answer 1

Integers are 17, 18 and 19

Explanation:

Step 1 - Write as an equation:
`2(x + x + 1) = 2(x + 2) + 32`

Step 2 - Expand brackets and simplify:
`4x + 2 = 2x + 36`

Step 3 - Subtract 2x from both sides:
`2x + 2 = 36`

Step 4 - Subtract 2 from both sides
`2x = 34`

Step 5 - Divide both sides by 2
`x = 17`

`\therefore` `x = 17`, `x + 1 = 18` and `x + 2 = 19`