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princeton test problem

Expert replies
by majorsheetal » Fri Oct 01, 2010 1:25 am
If x and Y are integers and x^2 = y and y^2 = 27 x and xy = 27 than what is the value of x-y=?


I am feeling very demoralised that i am not even able to solve this easy problem . It looks so simple but still....

any solution please?
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Source: — Problem Solving |

by kvcpk » Fri Oct 01, 2010 1:36 am
majorsheetal wrote:If x and Y are integers and x^2 = y and y^2 = 27 x and xy = 27 than what is the value of x-y=?


I am feeling very demoralised that i am not even able to solve this easy problem . It looks so simple but still....

any solution please?
xy = 27 and x^2 = y
Replace y with x^2

x^3 = 27
implies x= 3

now x^2 = y
Hence y = 9

x-y = 9-3 = 6.

Hope this helps!!
"Once you start working on something,
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
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by majorsheetal » Fri Oct 01, 2010 1:47 am
Thanks !! it was so simple..and i spent hell lot of a time to solve it....
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by pzazz12 » Fri Oct 01, 2010 2:43 am
kvcpk wrote:
majorsheetal wrote:If x and Y are integers and x^2 = y and y^2 = 27 x and xy = 27 than what is the value of x-y=?


I am feeling very demoralised that i am not even able to solve this easy problem . It looks so simple but still....

any solution please?
xy = 27 and x^2 = y
Replace y with x^2

x^3 = 27
implies x= 3

now x^2 = y
Hence y = 9

x-y = 9-3 = 6.

Hope this helps!!

thank u......
Join the discussion