Question

The sum of three consecutive integers is 345. find the three integers.

Answer 1

Our three consecutive integers can be represented as

X ← first integer

X + 1 ← second integer

X + 2 ← third integer

Since the sum of our three consecutive integers is 345, our equation will read

X + X + 1 + X + 2 = 345

When we simplify on the left, our equation will now read

3x + 3 = 345

-3 -3 ← subtract 3 on both sides

3x = 342 ← divide both sides by 3

X = 114

first integer = 114

second integer = 114 + 1 = 115

third integer = 114 + 2 = 116

Therefore, the three consecutive integers are 114, 115, and 116.

Answer 2

x - 1 + x + x + 1 = 345
Consecutive means that each member differs by one. Put another way you add one to the previous number to get the next number.

3x = 345
x = 115
x - 1 = 114
x + 1 = 116