Three consecutive integers — Aptitude Question
Three consecutive integers: The sum of three consecutive integers is 72. What is the largest of them? Answer and worked solution on CodeKairo.
- Topic: Mathematical Reasoning
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 45 seconds
Question
The sum of three consecutive integers is 72. What is the largest of them?
Options
- 23
- 24
- 25
- 26
Show the answer and the worked solution
Correct answer: C. 25
Worked solution
- The middle integer = 72 ÷ 3 = 24.
- The three integers are 23, 24, 25.
- The largest is 25.
Answer: 25.
The idea
For an odd count of consecutive numbers, the average is the middle term. No algebra is needed.
Shortcut. For three consecutive integers, largest = (sum + 3) ÷ 3 = 75 ÷ 3 = 25.
Common trap. "24" — stopping at 72 ÷ 3, which is the middle integer, not the largest.