AlgebraHardNumber from a third and a half
Algebra practice question
One third of a number, increased by 5, is equal to one half of the same number, decreased by 1. What is the number?
Answer: 36
n/3 + 5 = n/2 − 1 gives 6 = n/6, so n = 36.
Common wrong answers
- If you answered 6
- 6 is the difference n/2 − n/3 at the solution, not n.
- If you answered 12
- 12 solves n/3 + 5 = n/2 + 3.
- If you answered 24
- 24 solves n/3 + 5 = n/2 + 1, adding instead of subtracting 1.
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