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golf game

by naaga » Wed Feb 18, 2009 7:21 am
What was Casey’s total score for eighteen holes of golf?
(1) Casey’s score for the first nine holes was 13 less than his score for the last nine holes.
(2) Twice Casey’s score for the last nine holes was 58 more than his score for the first nine holes.


OA C


I got E
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Source: — Data Sufficiency |
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by DanaJ » Wed Feb 18, 2009 8:03 am
Say x = Casey's score for the first 9 holes and
y = Casey's score for the last 9 holes
1. tells you that x = y - 13. This is insufficient, since you have two unknowns and only one equation
2. tells you that 2y = x + 58. This is insufficient for the same reason as above.
But take the two stmts together and you get a system of two equations with two unknowns, which can be easily solved:
x = y - 13
2y = x + 58.

So I agree with the OA.
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