Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 5 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?	Choose the correct choice from the following options: A) 9 B) 14 C) 17 D) 29 E) 25
My take is Option D (23)   I followed a simple approach (explained below):   Test 1: Ada's score = Paul's score + 10   Test 2: Ada's score = Paul's score + 4   Avg. of Paul's score = 5 points higher than Avg. of Ada's score   This implies that : Sum of Paul's score [3 Tests] = 15 points higher than Sum of Ada's score [3 Tests] (9 points higher since 3 points were given in terms of average of 3 scores)   So, Paul needs to score 29 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 29 = 10 + 4 + 15)   29
<result>D</result>
Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 5 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?