The sum of three consecutive integers is 81. What are the integers?
A) 78, 79, 80
B) 27, 28, 29
C) 25, 27, 29
D) 26, 27, 28
E) 81, 0, 0

Question

The sum of three consecutive integers is 81. What are the integers? ​
A) 78, 79, 80
B) 27, 28, 29
C) 25, 27, 29
D) 26, 27, 28
E) 81, 0, 0

Quizplus · Accepted Answer

Let x be the first integer. Then the next two consecutive integers are x + 1 and x + 2. The sum of these three integers is x + (x + 1) + (x + 2) = 3x + 3. We know that this sum is 81, so we can write the equation 3x + 3 = 81. Solving for x, we get x = 26. Therefore, the three consecutive integers are 26, 27, and 28, which is choice D.

The Sum of Three Consecutive Integers Is 81