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ddm Really wants to Beat The GMAT!
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Location: San Jose,CA
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Posted: Thu Aug 28, 2008 5:10 pm Post subject: units digit |
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Sunny22uk Really wants to Beat The GMAT!
Joined: 17 Apr 2008 Posts: 144
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Target GMAT Score: 800
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Posted: Thu Aug 28, 2008 5:49 pm Post subject: |
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since X3 x 3 = 2y x 9
it follow that x3=2y x 3 ( divide both sides by 3)
since x and y are between 1 and 10, it folllows that y=1(units digit has to be equal on the right hand side and left hand side)
Right hand side= 63
x=6,y=1, answer=7
_________________ You cannot discover new oceans unless you have the courage to loose sight of the shore. |
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ddm Really wants to Beat The GMAT!
Joined: 28 Jul 2008 Posts: 161
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Location: San Jose,CA
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Posted: Fri Aug 29, 2008 2:37 pm Post subject: |
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"it folllows that y=1(units digit has to be equal on the right hand side and left hand side)"???
How did u get that?
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Sunny22uk Really wants to Beat The GMAT!
Joined: 17 Apr 2008 Posts: 144
Thanks given: 13 Thanked 7 times in 7 posts
Target GMAT Score: 800
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Posted: Fri Aug 29, 2008 2:50 pm Post subject: |
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| Sunny22uk wrote: | since X3 x 3 = 2y x 9
it follow that x3=2y x 3 ( divide both sides by 3)
since x and y are between 1 and 10, it folllows that y=1(units digit has to be equal on the right hand side and left hand side)
Right hand side= 63
x=6,y=1, answer=7 |
>>the units digit on the left hand side is 3
>>the units digit on the right hand side must be 3(for the two numbers to be equal)
>>Units digit of 2yx3 means yx3
>>for yx3 to be equal to 3 and y being between 1 and 10, y=1 is the only value which will give the desire result
Let me know if you have any questions
_________________ You cannot discover new oceans unless you have the courage to loose sight of the shore. |
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