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Cant fig this one out??

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Source: — Data Sufficiency |

by Gurpinder » Wed Jul 20, 2011 10:55 am
jayanti wrote:What is the value of xy?
(1) 2^(x+y) = 4
(2) 2^(x+3y) = 16
Q: Whats the values of x and y

(1)
2^(x+y) = 4
2^(x+y) = 2^2
x+y = 2

x=2-y
y=2-x

Can't get the values of x and y. Hence Insuff.

(2)
2^(x+3y) = 16
2^(x+3y) = 2^4
x + 3y = 4

x=4-3y
y=(4-x)/3
Can't get the values of x and y. Hence Insuff.

Together:
From (1) we know, x=2-y and from (2) we know x=4-3y

4-3y=2-y
-2y=-2
y=1

from (1) x=2-y

x=2-1
x=1

Hence x.y = 1

Therefore suff.

(C)
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
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by jayanti » Thu Jul 21, 2011 3:19 am
thanks a ton....for explaining it so simply:)
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