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If p + q = 3 and p – q = 17, then pq =

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Math Expert
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If p + q = 3 and p – q = 17, then pq =  [#permalink]

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New post 22 Jul 2019, 00:53
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:44) correct 17% (01:06) wrong based on 52 sessions

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VP
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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

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New post 22 Jul 2019, 00:58
1
Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70


p + q = 3

p – q = 17

.........................
2p = 20

p = 10.

substitute this value:

p + q = 3

10 + q = 3

q = -7.

Required Value ;

pq

(10) ( -7) = -70.

A is the best answer.
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Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

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New post 22 Jul 2019, 00:59
Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70



Given: p + q = 3 and p – q = 17,
Asked: pq =?

Adding 2p=20 => p=10
q=-7

pq = 10*(-7) = -70

IMO A
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Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

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New post 02 Aug 2019, 08:05
\((a+b)^2\) - \((a-b)^2\) = 4xy

In this case,

\((p+q)^2\) - \((p-q)^2\) = 4pq

=> \(3^2\) - \(17^2\) = 4pq
=> 9 - 289 = 4pq
=> pq = -280/4 = -70
Target Test Prep Representative
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Re: If p + q = 3 and p – q = 17, then pq =  [#permalink]

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New post 04 Aug 2019, 11:41
Bunuel wrote:
If p + q = 3 and p – q = 17, then pq =

A. -70
B. -60
C. 0
D. 10
E. 70


Adding the equations together, we have:

2p = 20

p = 10

So, q is:

10 + q = 3

q = -7

Thus, pq is -70.

Answer: A
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Re: If p + q = 3 and p – q = 17, then pq =   [#permalink] 04 Aug 2019, 11:41
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