SOLUTION: The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

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Question 893959: The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

Let the smaller number be S
Then larger number =
When the numbers become reciprocals, the smaller number becomes the LARGER reciprocal, and the
larger number becomes the SMALLER reciprocal
Thus, the larger reciprocal is: , and the smaller reciprocal is: , or
Therefore, the LARGER RECIPROCAL, equals 4 times the SMALLER RECIPROCAL, OR


------- Cross-multiplying

S, or smaller number = , or
Larger number: , or , or
Sum of the two numbers: , or , or , or , or
You can do the check!!
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