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If a + b - c = d, and if a - b + c = e, then a =

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If a + b - c = d, and if a - b + c = e, then a = [#permalink] New post 21 Sep 2011, 12:23
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (01:48) correct 11% (01:36) wrong based on 99 sessions
If a + b - c = d, and if a - b + c = e, then a =

A. 2(d + e)

B. d – e

C. (d + e)/2

D. d-2e

E. e-d


Any input/help would be appreciated.

Cheers!
[Reveal] Spoiler: OA
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Re: Problem [#permalink] New post 21 Sep 2011, 12:27
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gl0wstix wrote:
Hi, I have a problem I'm not sure of the best way to attack algebraically:

If a + b - c = d, and if a - b + c = e, then a =

A. 2(d + e)

B. d – e

C. (d + e)/2

D. d-2e

E. e-d

Any input/help would be appreciated.

Cheers!


Add both equations:
a + b - c = d
a - b + c = e

a+b-c+a-b+c=d+e
2a=d+e
a=(d+e)/2

Ans: "C"
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Schools: INSEAD, ISB, NUS
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Re: Algebra Problem [#permalink] New post 21 Sep 2011, 12:46
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KUDOS
gl0wstix wrote:
Hi, I have a problem I'm not sure of the best way to attack algebraically:

If a + b - c = d, and if a - b + c = e, then a =

A. 2(d + e)

B. d – e

C. (d + e)/2

D. d-2e

E. e-d


Any input/help would be appreciated.

Cheers!



Add both the equations and solve.

therefore 2a = d+e
a = (d+e)/2
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Re: Problem [#permalink] New post 22 Sep 2011, 03:37
Add equ 1 and 2 .....
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Re: If a + b - c = d, and if a - b + c = e, then a = [#permalink] New post 28 Sep 2015, 00:36
Hello from the GMAT Club BumpBot!

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Re: If a + b - c = d, and if a - b + c = e, then a = [#permalink] New post 28 Sep 2015, 22:27
Expert's post
Hi All,

This question can also be solved by TESTing VALUES.

We're told that....

A+B-C = D

A-B+C = E

IF...
A = 2
B = 3
C = 5

D = 2+3-5 = 0
E = 2-3+5 = 4

We're asked for the value of A, so we're looking for an answer that equals 2, when D = 0 and E = 4. There's only one answer that matches...

Final Answer:
[Reveal] Spoiler:
C


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Re: If a + b - c = d, and if a - b + c = e, then a =   [#permalink] 28 Sep 2015, 22:27
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