Find 3 consecutive odd integers whose sum is 225, explain please

Question

anonymous · Answer

sorry i ment 255

zarkon · Answer

$$n+n+2+n+4=225$$

$$3n+6=225$$

$$3n=219$$

$$n=73$$

so 73,75,77

karatechopper · Answer

x=1st number
x+2=2nd number
x+4=3rd number
x+x+2+x+4=225
combine like terms
3x+6=225
3x-6+6=225-6
3x=219
3x/3=219/3
x=73:first number
x+2=75:2nd number
x+4:3rd number

karatechopper · Answer

now if tht is 255 then.....

zarkon · Answer

n+n+2+n+4=255


3n+6=255


3n=249


n=83


so 83,85,87

karatechopper · Answer

x=1st
x+2=2nd
x+4=3rd
x+x+2+x+4=255
combine like terms
3x+6=255
3x+6-6=255-6
3x=249
3x/3=249/3
x=83:1st
x+2=85:2nd
x+4=87:3rd

anonymous · Answer

why did you put x+2 and x + 4?

karatechopper · Answer

well i used to wonder the same thing, but my teacher just said tht when u have to add something odd together count by twos and u will get the right answer..

anonymous · Answer

ohh i get it, so if it was 4 numbers the 4th one will be x+6 right?

karatechopper · Answer

yes sir!

anonymous · Answer

thanks! :)