Question

The sum of three consecutive integers is 78. What are the three integers?

Please help me with this problem, thank you.

Answer 1

We can represent our three consecutive integers as the following:

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum is 78, we can setup our equation:

x + (x + 1) + (x + 2) = 78

~simplify

3x + 3 = 78

~subtract 3 from both sides

3x = 75

~divide both sides by 3

x = 25

Since x = 25, x + 1 would be 26 and x + 2 would be 27.

So our three consecutive integers are 25, 26, and 27.