Question 511628
{{{1/x + 1/y = 1}}}
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{{{x = 3y}}}
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{{{1/(3y) + 1/y = 1}}}
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Multiply through by 3y
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{{{1 + 3 = 3y}}}
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{{{3y = 4}}}
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{{{y = 4/3}}}
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{{{x = 3*(4/3) = 3*4/3 = 4}}}
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Check the sum of reciprocals.
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{{{1/4 + 3/4 = 1}}}
Correct.
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Answer:  One number is 4/3 and the other is 4.
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Done.