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X and y are two different numbers selected from the first fifty counting numbers from 1 to 50 inclusive.

what is the largest value that (x+y) / (x-y) can have?

2 Answers

6 votes
The largest value will be for x=50 and y=49.


(50+49)/(50-49)=(99)/(1)=99
User Kstaruch
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In order to make a fraction as large as possible, you want the numerator to be large, and the denominator to be small.

Using the counting numbers, the smallest denominator (x - y) you can make is ' 1 '.
Now you just have to make the numerator large. You do that simply by using the largest two numbers you have available . . . 49 and 50 .

Now the fraction is (49 + 50) / 1 = 99 .
User Lilroo
by
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