SOLUTION: X and Y are the different numbers selected form the first fifty counting number from 1 to 50 inclusive. What is the largest value that X+Y divided by X-Y can have?

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Question 321292: X and Y are the different numbers selected form the first fifty counting number from 1 to 50 inclusive. What is the largest value that X+Y divided by X-Y can have?


Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: You want X+Y to be as large as possible and X-Y to be as small as possible. Also, to keep things simple, keep everything positive. So X-Y will be positive meaning that X > Y. To make X+Y as large as possible, select the largest possible values of X and Y (keep in mind that X > Y). To keep X-Y as small as possible, just select values of X and Y that are closest possible.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
X and Y are the different numbers selected form the first fifty counting number from 1 to 50 inclusive. What is the largest value that X+Y divided by X-Y can have?
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(50+49)/(50-49) = 99