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# If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

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Joined: 02 Sep 2009
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If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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07 Jul 2016, 04:58
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94% (01:29) correct 6% (02:14) wrong based on 168 sessions

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If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

A. 16.
B. 8.
C. 7.
D. 2.
E. -2.

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Posts: 591
Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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07 Jul 2016, 11:14
1
Bunuel wrote:
If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

A. 16.
B. 8.
C. 7.
D. 2.
E. -2.

Given A+B = 4 => A = 4 - B --> Eq 1

B+C = 9

C+D = 3 => D = 3 - C --> Eq 2

Then Eqs 1 + 2 => A + D = 4 - B + 3 - C

=> 7 - (B+C)
=> 7 - 9 = -2.

Option E...

OA please...will correct if I missed anything.
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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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07 Jul 2016, 11:47
1
Bunuel wrote:
If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

A. 16.
B. 8.
C. 7.
D. 2.
E. -2.

(A+B) = 4
(B+C) = 9

Subtracting both equations:-

A-C= -5
(C+D) = 3

A+D= -2

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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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07 Jul 2016, 20:07
1
A+B = 4 --- (Statement 1)
B+C =9---- (Statement 2)
C+D =3--- (Statement 3)

From statement 2 and 3

B-D =6 --- (Statement 4)

Subtract statement 4 from 2

A +D = -2 .. hence answer : E
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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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26 Sep 2016, 06:08
Bunuel wrote:
If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

A. 16.
B. 8.
C. 7.
D. 2.
E. -2.

subtract B+C from A+B
A-C=-5
A+D=-2.
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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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26 Sep 2016, 06:37
Answer is -2. Easy one, but I screw up this kind of questions when I take actual CATs :-/

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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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26 Sep 2016, 06:49
A + B = 4
B + C = 9
C + D = 3
-----------

A + 2B + 2 C + D = 4 + 9 + 3
==> A + 2(B+C) + D = 16

==> A+D = 16 - 2 * 9 = -2
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Re: If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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26 Sep 2016, 10:27
A+B=4
B+C=9
C+D=3

A+B=4
B=4-A

C+D=3
D=3-D

B+C=9
(4-A)+(3-D)=9
7-A-D=9
-A-D=2
-1(-A-D=2)
A+D=-2
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If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?  [#permalink]

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01 Nov 2017, 15:49
Bunuel wrote:
If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

A. 16.
B. 8.
C. 7.
D. 2.
E. -2.

Write all the equations, one under another, with variables B and C aligned

Multiply the second equation (B + C) by (-1), note the signs, and add all three.

A + B = 4
___-B - C = -9
______+C + D = +3
---------------------------
A . . . .+ D = -2

If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)? &nbs [#permalink] 01 Nov 2017, 15:49
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