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Let the two numbers be X and y respectively,
x/y = 1/3
3x - y = 0 (1st equation)
Now,
X + 5/y + 5 = 1/2
2x + 10 = y + 5
2x - y = -5 (2nd equation)
So,
In the first equation,
X = y / 3
Substitute X's value in equation second,
2(y / 3) - y = -5
2y / 3 - y = -5
-y / 3 = -5
y = 15 .
Now,
X = 15 / 3
X = 5 .
Therefore the numbers are 5 and 15 .
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