SOLUTION: One number is three times another. The sum of their reciprocals is four over nine. Find the numbers.

Question 314188: One number is three times another. The sum of their reciprocals is four over nine. Find the numbers.
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A and B be the numbers.

From eq. 1,

Then from the first equation,

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One number is three times another.
x = 3y
:
The sum of their reciprocals is four over nine.
+ =
:
Find the numbers.
Replace x with (3y)
+ =
multiply each term by 9y, results
3 + 9 = 4y
12 = 4y
y =
y = 3
find x
x = 3(3)
x = 9
:
:
Check solution
+ =
+ =
:
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