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If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ?

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subhendu009
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If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ? [#permalink] New post   09 Apr 2013, 18:54
2
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A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

82% (02:16) correct 18% (03:04) wrong based on 72 sessions
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If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?

A. -4
B. -2
C. 0
D. 2
E. 4

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C
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Re: If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ? [#permalink] New post   09 Apr 2013, 19:00
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If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?


This implies 9a - b = 10b + 80, 9a -b = -12b -2a, 10b + 80 = -12b -2a

Manipulating the second equation gives us 9a - b = -12b - 2a ==> 11a + 11b = 0

Answer is C

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Re: If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ? [#permalink] New post   09 Apr 2013, 21:37
So it means =

9a - 11b = 80................... (i)
2a + 22b = -80..................(ii)

Adding (i) & (ii)

11a + 11b = 0
Answer = C
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Re: If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ? [#permalink] New post   23 Aug 2014, 00:05
Only 0 is multiple of 11, so C

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Re: If 9a-b = 10b+80 = -12b - 2a, what is the value of 11a+11b ? [#permalink]
23 Aug 2014, 00:05
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