SOLUTION: SOLVE AND CHECK THE SUM OF 3 CONSECUTIVE ODD INTERGERS IS 201. FIND THE INTEGERS. x+x+x+1=201 3x+1=201 3x=200 x=66 The 3 intergers are 66,67,68 Did I do this correc

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: SOLVE AND CHECK THE SUM OF 3 CONSECUTIVE ODD INTERGERS IS 201. FIND THE INTEGERS. x+x+x+1=201 3x+1=201 3x=200 x=66 The 3 intergers are 66,67,68 Did I do this correc      Log On


   

Question 117910: SOLVE AND CHECK
THE SUM OF 3 CONSECUTIVE ODD INTERGERS IS 201. FIND THE INTEGERS.
x+x+x+1=201
3x+1=201
3x=200
x=66
The 3 intergers are 66,67,68
Did I do this correct?
Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You sort of started with the right idea, but you didn't quite get your expression of the three ODD integers correctly.

When you are talking about odd integers, remember that once you have selected one, the next consecutive one is 2 larger. Example: Choose 5. Then the next odd integer is 5 + 2 = 7.

So, if the first of the three consecutive odd integers is x, the next consecutive one must be x + 2, and the one after that is (x + 2) + 2, or x + 4.

Now lets add these three numbers:

x+%2B+%28x%2B2%29+%2B+%28x%2B4%29+=+201
3x%2B6=201
3x=195
x=65
x%2B2=67
x%2B4=69

Like I said, you were on the right track, but you need to read the question carefully and make sure you understand what is being asked.

Hope that helps.
Happy Holidays to you and your family.
John