Questions on Word Problems: Problems with consecutive odd even integers answered by real tutors!

Algebra ->  Algebra -> Questions on Word Problems: Problems with consecutive odd even integers answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


Question 147819: The sum of three consecutive odd integers is equal to 99.: The sum of three consecutive odd integers is equal to 99.
Answer by jim_thompson5910(9376) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=first number, so that means that the next number is x+2 and the next number is x+4


So "sum of three consecutive odd integers is equal to 99" translates to x+x+2+x+4=99


x+x+2+x+4=99 Start with the given equation.


3x+6=99 Combine like terms on the left side.


3x=99-6 Subtract 6 from both sides.


3x=93 Combine like terms on the right side.


x=(93)/(3) Divide both sides by 3 to isolate x.


x=31 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=31

So the first number is 31, the second number is 33 and the third is 35