Question

The sum of three consecutive odd integers is 87. Which equation could you use to find the three

integers and what is the largest integer?
O 3k + 4 = 87
The largest integer is 31
O k + (k + 2) + (k + 4) = 87
The largest integer is 31
O k + (k + 2) + (k + 4) = 87
The largest integer is 29
O k + (k + 1) + (k + 3) = 87
The largest integer is 31

Answer 1

`k+(k+2)+(k+4)=87`

The largest integer is 31.

Explanation:

Hi there!

Let k be equal to the smallest of the integers.

Let (k+2) be the next odd integer.

Let (k+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

`k+(k+2)+(k+4)=87`

Combine like terms:

`k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27`

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!