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ANIRUDDHO RAY Grade: 11
        

ques:- A,B,C are 3 distinct integers and (1/A+1/B+1/C) IS ALSO AN INTEGER. FIND THE VALUE OF A,B,C.

7 years ago

Answers : (2)

Askiitian.Expert Rajat
24 Points
										

Hi ANIRUDDHO


 


Since ABC are distinct, therefore possible values of ABC are:


(-n n 1) and (-n n -1)


where n is any non zero integer


the order for ABC can be anything but the triplets have to be of this form


Reasons:


 


If a;ll are distinct and posiotive, it(1/A+1/B+1/C) would not be an integer


If a;ll are distinct and negative, it(1/A+1/B+1/C) would not be an integer


Henxce the form given is obtained


 


Regards


Rajat

7 years ago
mycroft holmes
266 Points
										

well you can have A,B, C +ve and still have 1/A  + 1/B +  1/C an integer. e.g. A =2, B=3, C=6

7 years ago
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