# The sum of three consecutive odd integers is 48, how do you find the largest integer?

##### 2 Answers

The question has the wrong value as the sum. Summing 3 odd numbers will give an odd sum. However; the method is demonstrated through an example

#### Explanation:

Just to make this work lets derive the sum first. Suppose we had

Let the fist odd number be

Then the second odd number is

Then the third odd number is

So we have:

Subtract 6 from both sides

Divide both sides by 3

So the largest number is

Explanation below.

#### Explanation:

The question is worded incorrectly because there are not three consecutive odd integers that add up to

What I can do for you is leave you with this method of solving this problem. **Let's say I was looking for 3 consecutive integers that add up to #81#.**

My first integer would be

My second integer would be

My third integer would be

So my equation is...

Add/Subtract common terms

Now we know the value of

My first integer would be

My second integer would be

My third integer would be

So,