Solve.
-If the first and third of three consecutive odd integers are added, the result is 81 less than five times the second integer. Find the third integer.
A)54
B)27
C)25
D)29

Question

Quizplus · Accepted Answer

Let x be the second odd integer. Then the first and third are x-2 and x+2 respectively. According to the problem,
(x-2) + (x+2) = 5x - 81
Simplifying this equation gives x = 29, which is the second odd integer. Therefore, the third odd integer is x+2= 31. Hence, the answer is D) 29.

Solve. -If the First and Third of Three Consecutive Odd Integers