# Odd Challenge Question in Algebra I Book

## Homework Statement

An even integer can be written as the expression 2n. Find three consecutive even integers with a sum of 54.

## Homework Equations

None, this was a challenge question.

## The Attempt at a Solution

I got that the sum of the digits in 104 (2*52) equals 54 but cannot see any other solutions.

The problem is this.

Find three integers (even) a, b and c such that

a + b + c = 54

where a = b-2 and c= b+2
So:

(b-2) + b + (b+2) = 54

From there you can solve for b, and then find a and c.

Mark44
Mentor

## Homework Statement

An even integer can be written as the expression 2n. Find three consecutive even integers with a sum of 54.

## Homework Equations

None, this was a challenge question.

## The Attempt at a Solution

I got that the sum of the digits in 104 (2*52) equals 54 but cannot see any other solutions.
The sum of the digits in 104 is 1 + 0 + 4 = 5.

The sum of the digits in 104 is 1 + 0 + 4 = 5.

I know what I did wrong now
Thank you all