SOLUTION: one number is 5 times another. The sum of their reciprocals is 1/5. Find the two numbers.

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Question 32152: one number is 5 times another. The sum of their reciprocals is 1/5. Find the two numbers.
Found 2 solutions by mukhopadhyay, stanbon:
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
1/x + 1/(5x) = 1/5
=>6/5x = 1/5
=>5x=30
=>x=6
One number is 6 and the other is 30

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let 1st number be x.
Then 2nd number is 5x.
Reciprocals are 1/x and 1/(5x)
EQUATION:
1/x + 1/(5x)= 1/5
Multiply thru by 5x to get:
5+1=x
x=6 (1st number)
5x=30 (2nd number)
Cheers,
Stan H.