the sum of three consecutive odd integers is 85 less than four times the first.what is the first integer? translate into the following stuation into a equation

Question

the sum of three consecutive odd integers is 85 less than four times the first.what is the first integer?   translate into the following stuation into a equation

anonymous · Answer

Lets say the first integer is n.

What would be the next odd number after n?

anonymous · Answer

the next number would be 3

anonymous · Answer

No, the next number would be n+2.

anonymous · Answer

And so on.

anonymous · Answer

So if you have 4 odd numbers (and the first one is n) added together they would be:

n + (n+2) + (n+4) + (n+6)

anonymous · Answer

n+12

anonymous · Answer

Right. So that's the sum part. And they said that the sum was 85 less than 4 times the first number.

anonymous · Answer

So 

n+12 = 4n - 85