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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

Kudos [?]: [0], given: 2

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

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21 Sep 2011, 13:23
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:01) correct 13% (01:29) wrong based on 149 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!
[Reveal] Spoiler: OA

Kudos [?]: [0], given: 2

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2051 [1], given: 376

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21 Sep 2011, 13:27
1
KUDOS
1
This post was
BOOKMARKED
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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Kudos [?]: 2051 [1], given: 376

Intern
Status: Need to read faster and get less distracted by the ticking clock!
Affiliations: Golden Key
Joined: 19 Nov 2010
Posts: 21

Kudos [?]: 27 [1], given: 4

Location: Toronto, ON

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21 Sep 2011, 13:46
1
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

Kudos [?]: 27 [1], given: 4

Manager
Status: Essaying
Joined: 27 May 2010
Posts: 146

Kudos [?]: 9 [0], given: 8

Location: Ghana
Concentration: Finance, Finance
Schools: Cambridge
GMAT 1: 690 Q47 V37
GPA: 3.9
WE: Accounting (Education)

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22 Sep 2011, 04:37
Add equ 1 and 2 .....

Kudos [?]: 9 [0], given: 8

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Joined: 09 Sep 2013
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Kudos [?]: 273 [0], given: 0

Re: If a + b - c = d, and if a - b + c = e, then a = [#permalink]

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28 Sep 2015, 01:36
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Affiliations: EMPOWERgmat
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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, 23:27
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...

[Reveal] Spoiler:
C

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Rich
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Kudos [?]: 3410 [0], given: 172

Re: If a + b - c = d, and if a - b + c = e, then a =   [#permalink] 28 Sep 2015, 23:27
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