Find m + n - mn = ? | Olympiad Math

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This is a middle school Olympiad math practice question.

  1. Dr. Wang
  2. Find m n - mn = ?
  3. Olympiad Question
  4. MATHCOUNTS
  5. GMAT
  6. SAT
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Комментарии
Автор

1 + 1 is not greater than 1*1; 2 + 2 is not greater than 2*2; 2 + 3 < 2*3; etc. => ONE of m and n must be 1.
Let m = 1. So 1 + 2 > 1*2 and 3 - 2 = 1; etc. ...; 1 + n > 1*n and n + 1 - n = 1. Thus m + n - mn = 1.
The above is actually how I did it in my head, so it took about 30 seconds.

piman
Автор

Omg i solved it faster and easier than you 🙂😂

MDS