The sum of three consecutive integers is -66. What is the value of the largest integer?

Answer 1

n + (n + 1) + (n + 2) = -66

Can you solve for n and answer?

Answer 2

First thing you need to know on a problem like this is the meaning of "consecutive integers", which is three numbers in a row (ex: 13, 14, 15) and the word sum means addition. To set this problem up you will need to define each number:

x: first number

(x + 1): second number

(x + 2): Third number

The "sum" of three "consecutive integers" is -66:

x + (x + 1) + (x + 2) = -66

3x + 3 = -66 (Combined like terms)

3x = - 69 (Subtracted 3 from both sides)

x = -23 (Divided both sides by three)

Finally you will need to plug -23 back into the expressions for the second and third number:

First number: -23

Second number -23 + 1 = -22

Third number: -23 + 2 = -21

Hope this helped!