2012 AMC 10A Problems/Problem 6
Problem
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?
Solution
Let the two numbers equal and . From the information given in the problem, two equations can be written:
Therefore,
Replacing with in the equation,
So and would then be
The sum would be =
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See Also
2012 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AMC 10 Problems and Solutions |
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