If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find the third integer.
A) 46
B) 23
C) 25
D) 21

Question

Quizplus · Accepted Answer

Let the three consecutive odd integers be $x$, $x+2$, and $x+4$. According to the problem, $x + (x+4) = 5(x+2) - 69$. Simplifying gives $2x + 4 = 5x + 10 - 69$, which simplifies further to $3x = 63$, so $x = 21$. Therefore, the third integer is $x+4 = 25$.

If the First and Third of Three Consecutive Odd Integers