Answer:
87
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.