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have double of what Amy is left with.

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have double of what Amy is left with.

by sanju09 » Wed Nov 13, 2013 4:18 am
If Amy gives Brown c cents then Brown would have double of what Amy is left with. If Brown gives Amy c cents then both of them would have equal amount of cents with them. Twice the number of cents that Brown originally had is c cents less than how many times the number of cents that Amy originally had?
A. 1.5
B. 2
C. 2.5
D. 3
E. 3.5



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by theCodeToGMAT » Wed Nov 13, 2013 4:43 am
Amy's = A
Brown's = B

2(A - c)= B + c
= 2A - B = 3c -(1)

B - c = A + c
-2c = A - B -(2)

To find: 2B = xA - c

Solving (1) & (2)
A - B = -2c
2A - B = 3c
__________
-A = -5c
A = 5C

5C - B = -2c
B = 7c

So,
2(7c) = x(5c) - c
14c + c = x5c
c = 3
Answer [spoiler]{D}[/spoiler]
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by sanju09 » Wed Nov 13, 2013 4:52 am
theCodeToGMAT wrote:Amy's = A
Brown's = B

2(A - c)= B + c
= 2A - B = 3c -(1)

B - c = A + c
-2c = A - B -(2)

To find: 2B = xA - c

Solving (1) & (2)
A - B = -2c
2A - B = 3c
__________
-A = -5c
A = 5C

5C - B = -2c
B = 7c

So,
2(7c) = x(5c) - c
14c + c = x5c
c = 3
Answer [spoiler]{D}[/spoiler]
Too many needless steps would waste our time on the real day.

2 (A - c) = B + c

A + c = B - c

Add

3 A - c = 2 B

Can we peep into our answer at here?
The mind is everything. What you think you become. -Lord Buddha



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Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by theCodeToGMAT » Wed Nov 13, 2013 4:59 am
sanju09 wrote: Too many needless steps would waste our time on the real day.

2 (A - c) = B + c

A + c = B - c

Add

3 A - c = 2 B

Can we peep into our answer at here?
Yep, you are correct! Just an extra thought could have saved several vital seconds or minute(s)
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