Question

3 odd consecutive numbers have a sum of 75. What is the greatest number?

Answer 1

The greatest number would be `27`.

Explanation:

Let's put `x` as the smallest odd number, `x+2` can be the second odd number, and `x+4` can be the third largest number.

(We found `x+2` and `x+4` because we are skipping the even numbers.)

So our equation would be:

`x+(x+2)+(x+4)=75`

We can simplify that to

`3x+6=75`

Subtract `6` from both sides...

`3x=69`

Divide both sides by three...

`x=23`

Now we solve for `x+2` and `x+4`

`2+x=23+2=25`

`4+x=23+4=27`

`27` is the greatest number.

(To check, you can add all three numbers together... `23+25+27=75`)