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The question can be rephrased as (r+s)/2, since the denominator is the same. So, ultimately we need to find out either r and s individually or (r+s) as a value. This can be arrived without looking at the statements. Statement 1 and Statement 2 both give the value of (r+s) alone. So, answer is D.
Target question:What is the value of r/2 + s/2? This is a great candidate for REPHRASING the target question. Since both fractions have the same denominator, we can add the numerators. We get: r/2 + s/2 = (r + s)/2 REPHRASED target question:What is the value of (r + s)/2
Statement 1: (r + s)/2 = 5 This is PERFECT! Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: r + s = 10 If r + s = 10, then (r + s)/2 = (10)/2 = 5 Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
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