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P and Q have few marbles. How many marbles does P have?

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Math Expert
Joined: 02 Sep 2009
Posts: 55274
P and Q have few marbles. How many marbles does P have?  [#permalink]

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11 Jul 2017, 03:35
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Question Stats:

84% (01:40) correct 16% (01:04) wrong based on 39 sessions

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P and Q have few marbles. How many marbles does P have?

(1) P has 10 marbles greater than what Q has.
(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.

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Director
Joined: 05 Mar 2015
Posts: 998
Re: P and Q have few marbles. How many marbles does P have?  [#permalink]

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11 Jul 2017, 07:50
Bunuel wrote:
P and Q have few marbles. How many marbles does P have?

(1) P has 10 marbles greater than what Q has.
(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.

combining both
if P=20 then q=10
or P=30 then q=20....many such pairs...

Ans E
Manager
Joined: 05 Nov 2014
Posts: 106
Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
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Re: P and Q have few marbles. How many marbles does P have?  [#permalink]

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11 Jul 2017, 08:12
P and Q have few marbles. How many marbles does P have?

(1) P has 10 marbles greater than what Q has.
(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.

SOLUTION:

Statement 1: Algebraically, P=Q+10. Insufficient to get the exact value of P.

Statement 2:
(P-10)=[(Q+10)-10]

Solving this we get P=Q+10.

Combining St 1 and St 2,
So, therefore the answer is Option E.
Director
Joined: 21 Mar 2016
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Re: P and Q have few marbles. How many marbles does P have?  [#permalink]

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11 Jul 2017, 08:37
stat 1: clearly insuff

stat2: P-10 = (Q + 10) - 10
insuff

ans E
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Joined: 06 Nov 2016
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GMAT 1: 710 Q50 V36
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Re: P and Q have few marbles. How many marbles does P have?  [#permalink]

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14 Jul 2017, 11:49
STatement 1: P = Q + 10

- insufficient, two unknowns one equation

Statement 2: P - 10 = (Q + 10) - 10
or P = Q+10

- insufficient, two unknowns one equation

On combining - we have the same information

+1 kudos if you like the post.
Re: P and Q have few marbles. How many marbles does P have?   [#permalink] 14 Jul 2017, 11:49
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