Ada and Paul received their scores on three tests. On the first test, Ada's score was 12 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 3 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? Pick one.
A) 9	B) 14	C) 17	D) 23	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 = 3 points higher than Avg. of Ada's score   This implies that : Sum of Paul's score [3 Tests] = 9 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 25 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 25= 12 + 4 + 9)   25
<result>E</result>
Ada and Paul received their scores on three tests. On the first test, Ada's score was 12 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 3 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?