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Sub 505 (Easy)|   Algebra|      
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Bunuel
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 07:00
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D
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87% (00:45) correct 13% (03:37) wrong based on 76 sessions

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If 5a + 2b = 11 and 4a + 3b = 4, then a - b =

A. -7
B. 25/7
C. 48/7
D. 7
E. 15




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D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 07:06
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5a + 2b = 11......eq1
4a + 3b = 4....... eq2

eq1-eq2

a-b=7

IMO Option D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 07:23
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A -B =7 FROM 2 EQUATIONS -subtracting 2 eq from 1

SO ANS = D) 7
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 07:40
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IMO D

After Subtracting Equation 1 and 2 we get = A - B = 7

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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 07:54
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If 5a + 2b = 11 and 4a + 3b = 4, then a - b =

Simply subtract second equation (4a + 3b = 4) from first equation (5a + 2b = 11).

a-b=7

Answer D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 08:04
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5a+2b-4a-3b=a-b=7

PUSH D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 08:07
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5a+2b=11 ........ (i)
4a+3b=4 ...........(ii)
a-b=?
from (i): 5a+2b = a+(4b+3b)-b = a+(4)-b =11
so, a-b = 11-4=7
Ans. D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 09:08
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Bunuel
If 5a + 2b = 11 and 4a + 3b = 4, then a - b =

A. -7
B. 25/7
C. 48/7
D. 7
E. 15

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5a+2b=11-----I

4a+3b=4-----II

Subtracting equation II from the equation I: \(5a+2b-4a-3b=11-4\)

\(a-b=7\)

The answer is \(D\)
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 10:15
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IMO D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 10:58
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IMO D

5a + 2b = 11 --- equation1
4a + 3b = 4 --- equation2

equation1 - equation2
=> (5a + 2b) - (4a+3b) = 11 - 4
=> a - b = 7
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 12:53
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If 5a + 2b = 11 and 4a + 3b = 4,
Substracting equations, a-b =7

So, It is D. :)
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 31 Dec 2020, 16:27
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IMO D 7

by Substracting 1st equation from 2nd will generate the required a-b Value
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 01 Jan 2021, 08:03
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Correct Answer D

5a + 2b = 11 ------------1

4a + 3b = 4 --------------2

(1) -(2)
a - b =7
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 01 Jan 2021, 08:12
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Imo-D
5a + 2b = 11 ....1
4a + 3b = 4....2
Less equation 1 from2
a-b= 7

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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 02 Jan 2021, 18:59
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5a + 2b = 11 ——— Eq 1
4a + 3b = 4 ——— Eq 2

Subtract the Eq 2 from Eq 1
5a + 2b - 4a -3b = 11 - 4
a - b = 7

So the answer will be D
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GMAT Club Around The World!!! If 5a + 2b = 11 and 4a + 3b = 4, then a 03 Jan 2021, 05:50
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Bunuel
If 5a + 2b = 11 and 4a + 3b = 4, then a - b =

A. -7
B. 25/7
C. 48/7
D. 7
E. 15




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This is straight forward. Subtracting the second expression from the first expression, we get a-b = 7.

Thus, IMO option D is the solution.
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