Problema Solution
A. Positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/10 find the integers
Answer provided by our tutors
Let 'x' and 'y' be the positive integers.
Since one integer is twice the other we have:
y = 2x
The sum of the reciprocals of the two positive integers is 3/10 means:
1/x + 1/y = 3/10
Plug y = 2x into the last equation:
1/x + 1/(2x) = 3/10
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click here to see the equation solved for x
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x = 5
2x = 2*5 = 10
The two positive integers are 5 and 10.