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# If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a +

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Math Expert
Joined: 02 Sep 2009
Posts: 47110
If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a + [#permalink]

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17 Sep 2017, 03:48
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Difficulty:

45% (medium)

Question Stats:

63% (01:44) correct 37% (02:09) wrong based on 34 sessions

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If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a + 2b + 2c?

A. 0
B. 3
C. 6
D. 9
E. 24

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Re: If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a + [#permalink]

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17 Sep 2017, 06:30
1
Given data:
a + 3b + 4c = 9
a + 4b + 6c = 15

Since a + 3b + 4c = 9, 2(a + 3b + 4c) = 18 => 2a + 6b + 8c = 18 ->(1)
It has been given that a + 4b + 6c = 15 ->(2)

(1) - (2) => a + 2b + 2c = 3(Option B)
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Joined: 19 Jul 2017
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Concentration: General Management, Strategy
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Re: If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a + [#permalink]

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17 Sep 2017, 07:02
Bunuel wrote:
If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a + 2b + 2c?

A. 0
B. 3
C. 6
D. 9
E. 24

a+3b+4c=9 --(1)
a+4b+6c=15 --(2)

(2)-(1) ==>a+b+2c=6--(3)

(1)-(3) ==> a+2b+2c =3

Ans:B
Re: If a + 3b + 4c = 9 and a + 4b + 6c = 15, then what is the value of a +   [#permalink] 17 Sep 2017, 07:02
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