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A, B, and C are consecutive odd integers such that A < B < C.
If A + B + C = 81, then A + C =
Title
Consecutive Odd Integers
Your Result
Correct
Difficulty
Medium
Your Pace
0:04
Others' Pace
1:36
Video Explanation
Text Explanation
We know that A, B, and C are three consecutive odd numbers. To get from one odd number to the very next odd number, we add 2. This means that
B = A + 2
C = A + 2 + 2 = A + 4
81 = A + B + C
81 = A + (A + 2) + (A + 4)
81 = 3A + 6
75 = 3A
25 = A
So the three consecutive odd numbers are
A = 25
B = 27
C = 29
So, A + C = 25 + 29 = 54
Answer = (B)
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