Two times the sum of three consecutive odd integers is the same as 25 more than 5 times the largest integer. Find the integers.
A) 37, 39, and 41
B) 25, 27, and 29
C) 33, 35, and 37
D) 29, 31, and 33

Question

Quizplus · Accepted Answer

Let the three consecutive odd integers be $x$, $x+2$, and $x+4$. The equation based on the given information is $2(x + (x+2) + (x+4)) = 5(x+4) + 25$. Solving this equation gives $x = 33$, so the integers are 33, 35, and 37.

Two Times the Sum of Three Consecutive Odd Integers Is