Question 253050: If x and y are positive integers, x + y < 15, and x > 5, what is the greatest possible value of x –y ? Found 2 solutions by Edwin McCravy, JimboP1977:Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website! If x and y are positive integers, x + y < 15, and x > 5, what is the greatest possible value of x–y ?
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"When the most is added on and the least is subtracted
from it".
In other words, x-y would have to be at its greatest
possible value when x is its greatest possible value
and y is its smallest possible value.
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That would be when x is 13 and y is 1, giving a maximum
value of x-y as 13-1 or 12.
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Edwin
You can put this solution on YOUR website! As x must be a minimum of 6 then y must be at most 8. So y must be equal to or less than 8 but equal to or greater than 1 (as y must be a postive integer).
If y is at its least value of 1 then the maximum x can be is 13.
To get the biggest value from we want x to be the biggest it can and y to be the smallest. So and . So the greatest value of .
