3 odd consecutive numbers have a sum of 75. Find the greatest number

Zackary Diaz

Zackary Diaz

Answered question

2022-11-17

3 odd consecutive numbers have a sum of 75. Find the greatest number

Answer & Explanation

Stella Andrade

Stella Andrade

Beginner2022-11-18Added 19 answers

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)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?