Question

Set up an equation that represents that the sum of four con-

secutive integers is 486. Solve to find the value of the four
numbers. Show all work for full credit.

Answer 1

120, 121, 122 and 123

Explanation:

Consecutive integers are separated by a difference of 1

Let the first integer be n

Then the second integer is n + 1

The third integer is n + 2

and the fourth integer is n + 3

Adding these together will give the sum of the 4 integers

n + (n + 1) + (n + 2) + (n + 3) = 486 (given)

n + n + n + n + 1 + 2 + 3 = 486

4n + 6 = 486

4n = 486 - 6

4n = 480

n = 120

So the 4 integers are 120, 121, 122 and 123