SOLUTION: One number is 5 times as large as another. The sum of their reciprocals is 245. Find the two numbers.

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Question 802859: One number is 5 times as large as another. The sum of their reciprocals is 245. Find the two numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers n & 5n
1%2Fn + 1%2F%285n%29 = 245
multiply by 5n, results:
5 + 1 = 5n(245)
6 = 1225n
n = 6/1225 is one numer
Then
5n = 30/1225 is the other number
:
:
Check this, find the sum of the reciprocals, using a calc
1225%2F6 + 1225%2F30%29 = 245