If and are positive integers such that , what is the numerical value of ?

Answer and explanation

Correct answer: A. 15

  1. Step 1: Factor the difference of squares: . Since 29 is a prime number, its only integer factors are 1 and 29.
  2. Step 2: Set up equations: and . Adding both equations gives .
Answer
15.
Why not the others: '13' results from an incorrect factor pairing; '14' is the value of (); '16' computes .

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