Question

The sum of 3 consecutive integers is 144, find the integers.

Answer 1

Our three consecutive integers can be represented as

X → first integer

X + 1 → second integer

X + 2 → third integer

If the sum of our three consecutive integers is 144, our equation will read...

X + X + 1 + X + 2 = 144

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 144

      -3     -3   ← subtract 3 from both sides

       3x = 141  ← divide both sides by 3

       X = 47

X → first integer 47

X + 1 → second integer 48

X + 2 → third integer 49

Therefore, the 3 consecutive integers are 47, 48, and 49.