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Rangpur Higher Secondary 2011/9
Posted: Wed Feb 02, 2011 9:08 pm
by BdMO
Problem 9:
Sum of three positive integers is $2^{2011} + 1$, and the product of two of them is $2^{2011}$. How many values can the third integer take?
Re: Rangpur Higher Secondary 2011/9
Posted: Wed Feb 02, 2011 10:34 pm
by Mehfuj Zahir
Let XY=2^2011&X+Y+Z=2^2011+1.Now think of how many ways we can makeXY.The result should be 1005
Re: Rangpur Higher Secondary 2011/9
Posted: Sat Feb 05, 2011 4:30 pm
by photon
third integer will be odd. how did you get your ans...?
Re: Rangpur Higher Secondary 2011/9
Posted: Sat Feb 05, 2011 10:03 pm
by Mehfuj Zahir
U just think about how many ways u can make XY.Then the another one is third number.What's problem if it is odd?Bcoz 2^2011+1 is odd.