Question:
Let x and y be two positive integers and p be a prime number. If x (x – p) – y (y + p) = 7p, what will be the minimum value of x – y?
Let x and y be two positive integers and p be a prime number. If x (x – p) – y (y + p) = 7p, what will be the minimum value of x – y?
Updated On: Dec 10, 2024
- 1
- 3
- 5
- 7
- None of the above
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The Correct Option is
Solution and Explanation
Given: x (x – p) – y (y + p) = 7p
x2 - xp + y2 - yp = 7p
x2 - y2 - p(x+y) = 7p
(x+y)(x-y) - p(x+y) = 7p
(x-y) = \(\frac{p + 7p}{(x+y)}\)
Hence, option E is the correct answer.
Note: The answer cannot be determined as it is not in the options. None of the above is selected.
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