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`        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.`
8 years ago

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
```
8 years ago
mycroft holmes
271 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
```
8 years ago
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