Find the greatest of three consecutive odd integers whose sum is 225.

Question

Find the greatest of three consecutive odd integers whose sum is 225.

Answer 1

using algebra...

x+(x+2)+(x+4)=225

3x+6=225

3x=225-6

3x=219

x=219/3

x=73

x+2=75

x+4=77 is the answer to the question

using arithmetic...

if you have three consecutive odd integers, the middle one is the mean of the three

example: 3,5,7   3+5+7=15, 15/3=5

therefore all you have to do is...

225/3=75, now add 2 to 75 and subtract 2 from 75 to get 73,75, and 77