SOLUTION: A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem. The sum of 3 consecutive odd integers is 87. Find the three integers. What error did they

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem. The sum of 3 consecutive odd integers is 87. Find the three integers. What error did they      Log On


   

Question 284015: A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem.
The sum of 3 consecutive odd integers is 87. Find the three integers.

What error did they make?
Explain the error and give the correct equation.
Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It should be n + n+2 + n+4
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87/3 = 29, the middle number
--> 27, 29 & 31

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
n,n+2,n+4 are the 3 consecutive ODD integers.
n+n+2+n+4=87
3n+6=87
3n=87-6
3n=81
n=81/3
n=27 ans. for the first integer.
27+2=29 ans. for the middle integer.
27+4=31 ans. for the last integer.
Proof:
27+29+31=87
87=87