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AlgebraHardNumber from fractional parts summing to a value

Algebra practice question

One third of a number plus one half of the same number equals 25. What is the number?

Answer: 30

n/3 + n/2 = 5n/6 = 25, so n = 30.

Common wrong answers

If you answered 75
75 multiplies 25 by 3 only.
If you answered 12.5
12.5 divides 25 by 2 only.
If you answered 20.83
20.83 uses 6n/5 = 25.

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