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Consider three positive integers P, Q, and R. What is the value of P?\n\nStatement (1): The ratio of P to Q is 3:5.\n\nStatement (2): The sum of P, Q, and R is 110, and Q is 20 more than R.\n\n\nA. Statement (1) alone is sufficient to answer the question, but statement (2) alone is not sufficient.\nB. Statement (2) alone is sufficient to answer the question, but statement (1) alone is not sufficient.\nC. Both statements (1) and (2) together are sufficient to answer the question, but neither statement alone is sufficient.\nD. Both statements (1) and (2) together are not sufficient to answer the question.
The correct answer is C.\n\n**Step-by-step breakdown:**\n\n**1. Understand the Goal:**\nOur objective is to find a unique numerical value for the positive integer P.\n\n**2. Analyze Statement (1) alone:**\n * Statement (1) provides: \"The ratio of P to Q is 3:5.\""\n * This can be expressed as an equation: $\\frac{P}{Q} = \\frac{3}{5}$.\n * Rearranging this
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