SOLUTION: The difference of 2 numbers is 4. The difference between their reciprocals is 4/21. Find the 2 numbers
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Question 131457: The difference of 2 numbers is 4. The difference between their reciprocals is 4/21. Find the 2 numbers
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the larger number
Call the smaller number
Notice that the reciprocal of a smaller
number will be larger than the reciprocal
of a larger number
Substituting:
multiply both sides by
solve by completing the square
(only the + square root makes sense here)
The numbers are 7 and 3
check:
OK
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