SOLUTION: The sum of two numbers is 14.if the sum of their reciprocal is 7/24,then find the numbers

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Question 1075458: The sum of two numbers is 14.if the sum of their reciprocal is 7/24,then find the numbers
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
6 and 8


system%28x%2By=14%2C1%2Fx%2B1%2Fy=7%2F24%29

work with the fractional equation, substitute for either variable from the "14" equation, simplify and solve...

CHECK:
1%2F6%2B1%2F8
4%2F24%2B3%2F24
7%2F24