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  • Number Theory (SAT)
  • If m and n are integers, such that m2 + n2 = 25 and m &gt...
Multiple choice

If m and n are integers, such that m2 + n2 = 25 and m > n, the maximum possible value of m – n is __________.

  1. 1

  2. 3

  3. 4

  4. 7

  5. 5

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The possible values for (m, n) consistent with the given conditions are (4, 3 ). Then m – n = 1 or 7. So, the maximum value is 7.

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