The sum of 5 consecutive odd integers is 305 . Find the 5 integers.
A) $57,59,61,63,65$
B) $53,57,61,65,69$
C) $56,58,60,62,64$
D) $59,60,61,62,63$
E) $59,61,63,65,67$

Question

Quizplus · Accepted Answer

The sum of 5 consecutive odd integers can be represented as $n + (n+2) + (n+4) + (n+6) + (n+8) = 305$, where $n$ is the first odd integer. Simplifying gives $5n + 20 = 305$, so $5n = 285$, and $n = 57$. Therefore, the integers are $57, 59, 61, 63, 65$.

The Sum of 5 Consecutive Odd Integers Is 305 57,59,61,63,6557,59,61,63,6557,59,61,63,65 B) 53,57,61,65,6953,57,61,65,6953,57,61,65,69

The Sum of 5 Consecutive Odd Integers Is 305 $57,59,61,63,65$ B) $53,57,61,65,69$