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

1 Answer
Mar 19, 2018

Answer:

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#)