Four consecutive integers add up to 378

The numbers are 93, 94, 95 and 96

Step-by-step explanation:

Four consecutive integers add up to 378.

Let the first number be x

Second number will be x+1

Third number will be x+2

And the fourth number will be x+3

These four numbers add up to 378

Which means, we add them up

x + (x+1) + (x+2) + (x+3) = 378

x+x+1+x+2+x+3 = 378

Collect like terms

4x+6=378

4x = 378-6

4x=372

Divide both sides by 4

x=378/4

x=93

The first number is 93

The second number is x+1 = 93+1 = 94

The third number is x+2 = 93+2 = 95

The fourth number is x+3 = 93+3=96

Add up the four numbers

93+94+95+96 = 378