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Answer:
x + y = 11
1/x + 1/y = 11/28
1/x + 1/(11 - x) = 11/28
(11 - x + x)/(x(11 - x)) = 11/28
11x - x² = 28
x² - 11x + 28 = 0
(x - 7)(x - 4) = 0
x = 4, 7
The numbers are 4 and 7.
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