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Paul and Edna have a combined annual income of $40,000. What is Paul's

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Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 10 Jun 2017, 12:13
1
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A
B
C
D
E

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Question Stats:

87% (00:44) correct 13% (01:21) wrong based on 86 sessions

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Paul and Edna have a combined annual income of $40,000. What is Paul's annual income?

(1) Paul's annual income is $20,000 less than Edna's.
(2) Edna's annual income is 3 times Paul's.

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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 12 Jun 2017, 10:52
1
Statement 1 says that

Paul's annual income is $20,000 less than Edna's.

Lets Paul's income be x and Edna's income be y.

From the question it is given that x+y=40000 ----- (1)

and from statement 1 we get y-x = 20000 ----- (2)

From (1) and (2) combined we get the answer. Sufficient

Statement 2 says that

Edna's annual income is 3 times Paul's.

From the question it is given that x+y=40000 ----- (1)

and from statement 1 we get y=3x ----- (2)

From (1) and (2) combined we get the answer. Sufficient

Hence answer is D.
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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 12 Jun 2017, 20:32
Statement 1 is straight forward as Paul's income is total income - Edna's income, so Sufficient

Statement 2 gives us that P+3P=40000, from which we can easily calculate Paul's income, so Sufficient

Answer D
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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 12 Jun 2017, 21:33
P+E=40000
St. 1--> P in terms of E is given---> so 1 eqn 1 unknown---> sufficient
St. 2--> E in terms of P is given---> so 1 eqn 1 unknown---> sufficient
Answer D
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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 13 Jun 2017, 03:49
Let Paul's annual income= P
......Edna's ......................= E
P+E= $40000 (Given in the question stem)........................(1)

From (1): P= 20000-E; E= 20000-P. Put this value in the equation (1) and you will find value of P [Suff]
From (2): E= 3P; Put this value in the equation (1) and you will find value of P [Suff]

Both statements are sufficient to give the answer.

Answer: D.

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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's  [#permalink]

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New post 25 Jul 2017, 23:17
Statement 1
E+P=40000
P=E-20000
E+E-20000=40000
2E=40000+20000=60000
E=60000/2=30000
P=30000-20000=10000
Statement 2
P+3P=40000
4P=40000
P=40000/4=10000=sufficient.
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Re: Paul and Edna have a combined annual income of $40,000. What is Paul's   [#permalink] 25 Jul 2017, 23:17
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Paul and Edna have a combined annual income of $40,000. What is Paul's

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