Applicatons od Rational Expressions

Question

One positive number is three larger than another positive number. If four times the reciprocal of the smaller number is added to three times the reciprocal of the larger number, the sum is 1. Find the two numbers

Answer 1

We can solve this by forming a set of linear equations.

 

x=3+y -----(1)

4/y + 3/x = 1 ----(2)

 

Try solving for x and y, you will get the answers as

 

x=9 y = 6

 

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