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

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

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02 Aug 2018, 00:01
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83% (01:51) correct 17% (03:14) wrong based on 64 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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Re: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?  [#permalink]

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02 Aug 2018, 00:17
Ans: C

from given equations: -12b-2a =10b+80
-22b -2a =80 OR -11b-a = 40 ......(1)
& 9a-b=10b+80 9a-11b= 80 ........(2)
so from these two we get a =4 and b =-4 so 11a+11b = 0

Bunuel wrote:
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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Re: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?  [#permalink]

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02 Aug 2018, 00:40
Bunuel wrote:
If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?

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

9a - b = -12b - 2a

11 a = -11 b

a = -b .

Question:

11a + 11b

= 11(-b) + 11 b

= 0

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

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02 Aug 2018, 01:50
Bunuel wrote:
If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?

9a - b = -12b - 2a (Given)
9a + 2a = -12b + b
11a = -11b
11a + 11b = 0

Hence, C.
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Re: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?  [#permalink]

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02 Aug 2018, 23:39
9a - b = 10b + 80 = -12b - 2a

then 11a + 11b = ?

1. Look for the equation which will solve for either 11a and 11b or ( a and b )

2. 9a - b = -12b - 2a suffice one of the above

3. Solving this, we get 11a = -11b

4. ie, 11a+11b = 0

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

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09 Aug 2018, 04:34
9a - b = 10b + 80 = -12b - 2a,

form the above we use the first and the last part,

9a-b =-12b-2a.
from this we get 11a=-11b, thus 11a+11b =0. solved
Re: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 11a + 11b?   [#permalink] 09 Aug 2018, 04:34
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