SOLUTION: One number is 8 times another. The sum of their reciprocals is 81/8. Find the numbers.

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Question 541019: One number is 8 times another. The sum of their reciprocals is 81/8. Find the numbers.
Answer by friesr(113) About Me  (Show Source):
You can put this solution on YOUR website!
N = Number
8n = Another Number
1%2Fn+%2B+1%2F8n+=+81%2F8
Get common denominator:
+%288%2F8+%2A+1%2Fn%29+%2B+1%2F8+=+81%2F8

8%2F8n+%2B+1%2F8n+=+81%2F8

9%2F8n+=+81%2F8

9%2A8+=+81%2A8n

72+=+648n

n = 72/648 or 1/9

Number = 1/9
Another number = 8/9