Suppose one wishes to find distinct positive integers x, y such that (x + y)/xy is also a positive integer. Identify the correct alternative.
Explanation:
It can be very easy to figure out that (x + y) will always be greater than xy, only if one of them is 1. For eg. If x = 1 and y =2, then (x + y) = 3 and xy = 2.
Hence, (x + y) > xy.
Other than this, for all other values of x & y, (x + y) will always be less than xy, and hence, the ratio of (x+y)xy<1, and hence, cannot be an integer. Also, even if one of the values is 1, (x+y)xy will never be an integer.
Hence, option (a).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.