A set of 4 consecutive integers adds up to 354. What is the value of the least integer?

87

Step-by-step explanation:

First we need to set up our variables:

x = first number

x + 1 is our second number

x + 2 is our third number

x + 3 is our fourth number

Now we make our equation for the sum of these four consecutive integers:

x + x + 1 + x + 2 + x + 3 = 354

After gathering like terms we have:

4x + 6 = 354

Subtract 6 from both sides of the equation results in:

4x = 348

Next we divide both sides by four:

x = 87

To check our work we plug 87 to our other variables and get

x + 1 = 88

x + 2 = 89

x + 3 = 90

87 + 88 + 89 + 90 = 354 is true so our solution worked. The least integer is 87.