Find three consecutive integers whose sum is 81.
A) 25, 26, 27
B) 26, 28, 30
C) 26, 27, 28
D) 27, 28, 29

Question

Quizplus · Accepted Answer

Let x be the first integer. Then the next two consecutive integers are x + 1 and x + 2. We know from the problem that the sum of these three integers is 81, so we can write an equation:

x + (x + 1) + (x + 2) = 81

Simplifying this equation, we get:

3x + 3 = 81

Subtracting 3 from both sides, we get:

3x = 78

Dividing both sides by 3, we get:

x = 26

So the three consecutive integers are 26, 27, and 28, which matches choice C.

Find Three Consecutive Integers Whose Sum Is 81