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Kenny is three times older than Bob. In P years he will be

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Director
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Kenny is three times older than Bob. In P years he will be [#permalink] New post 26 Jan 2005, 14:43
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Kenny is three times older than Bob. In P years he will be twice older than Bob will be Q years later. Which of the following represents Kenny’s age comparing to Bob’s? (If X = Kenny’s age)

(a) X + P = 6X(P+Q).
(b) 2(X+P) = 3X + Q.
(c) (X+P)/2 = X/3 + P + Q.
(d) 3(X+P+Q) = 2X.
(e) 3X = 2(P + Q).
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 [#permalink] New post 26 Jan 2005, 15:47
X and X/3 ar e the ages of Kenny and BOb respectively

Ater P years, Kenny is X+P which is 2( P+Q+ X/3)

Therefore (X+P)/2 = X/3 + P + Q

Ans C
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 [#permalink] New post 26 Jan 2005, 16:06
Ans is C.
X = 3B
(X + P) = 2(B + Q) = 2(X/3 + Q)

Solving both the equations gives C.
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 [#permalink] New post 26 Jan 2005, 20:14
X is three times older than Y doesn't mean X=3Y. It means X=4Y. X=3Y would be X is three times as old as Y. I wonder if this question is problematic.
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 [#permalink] New post 27 Jan 2005, 13:19
OA is (C)
This is the OE:
X is Kenny’s age. X/3 is Bob’s age. Answer C is equivalent to (X+P) = 2(X/3+P+Q), which means that in P years, X+P is 2 times (X/3+P) plus Q years. The correct answer is C.

The problem seems vaguely worded as "...than Bob will be Q years later" which actually means "Q years after P years". This could be intepreted as "Q years from now" too. Anyone has problem with the wordings?

HongHu, you are right on that part too.
  [#permalink] 27 Jan 2005, 13:19
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