AlgebraHardSmallest of three consecutive integers
Algebra practice question
The sum of three consecutive integers is 3 less than 4 times the smallest of them. What is the smallest integer?
Answer: 6
With smallest n, n + (n + 1) + (n + 2) = 4n − 3 gives 3n + 3 = 4n − 3, so n = 6.
Common wrong answers
- If you answered 0
- 0 solves 3n + 3 = 4n + 3.
- If you answered 3
- 3 uses 3n + 3 = 4n + 3, a sign slip, then guesses.
- If you answered 7
- 7 is the middle integer.
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