SOLUTION: one number is two times another. If the sum of their reciprocals is 1/2, find the two numbers.

Question 432579: one number is two times another. If the sum of their reciprocals is 1/2, find the two numbers.
Found 2 solutions by jorel1380, edjones:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
One number is twice another. If the sum of their reciprocals is 1/2, then:
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1/x+1/2x=1/2
Multiply all by 2x:
2+1=x
3=x
6=2x
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Your numbers are 3 and 6.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x=2y
1/x + 1/y = 1/2
2y+2x=xy multiply each side by 2xy
2y+4y=2y^2 substitute 2y for x
-2y^2+6y=0
-2y(y-3)=0
y=3, x=6
.
Ed
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