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

Answer 1

Lets say the first integer is n.

What would be the next odd number after n?

Answer 2

the next number would be 3

Answer 3

No, the next number would be n+2.

Answer 4

And so on.

Answer 5

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)

Answer 6

n+12

Answer 7

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

Answer 8

So

n+12 = 4n - 85