SOLUTION: If the first and third of three consecutive odd integers are added, the result is 87 less than five times the second integer. Find the third integer. A) 27 B) 58 C) 31 D)

SOLUTION: If the first and third of three consecutive odd integers are added, the result is 87 less than five times the second integer. Find the third integer. A) 27 B) 58 C) 31 D)

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Question 227190: If the first and third of three consecutive odd integers are added, the result is 87 less than five times the second integer. Find the third integer.
A) 27
B) 58
C) 31
D) 29
E) none of the above
If someone could explain this to me, that would be fantastic. My brain is not processing this at all.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the first odd integer. Then the second consecutive odd integer has to be 2 more than that (if 5 is the first one, 7 is the next and so on), so

. The third must be two more, i.e.

.

The result of adding the first and the third:

Five times the second integer is

. 87 less than that is

So we can write:

Now all you need to do is solve for

, then add 2, then add 2 more and you will have the third integer.

John

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