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

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Intern
Joined: 14 Sep 2011
Posts: 2
If a + b - c = d, and if a - b + c = e, then a =  [#permalink]

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21 Sep 2011, 12:23
1
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:09) correct 11% (01:49) wrong based on 163 sessions

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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!
Retired Moderator
Joined: 20 Dec 2010
Posts: 1820

### Show Tags

21 Sep 2011, 12:27
1
1
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!

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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### Show Tags

21 Sep 2011, 12:46
1
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: If a + b - c = d, and if a - b + c = e, then a =  [#permalink]

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28 Sep 2015, 22:27
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...

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Rich
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Joined: 09 Sep 2013
Posts: 9138
Re: If a + b - c = d, and if a - b + c = e, then a =  [#permalink]

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25 Oct 2017, 05:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If a + b - c = d, and if a - b + c = e, then a = &nbs [#permalink] 25 Oct 2017, 05:52
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