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Question

how to find 2 rational number whose sum is posstive and if the smaller is divides by the greater number the result is 1/2


Solution

question must be like this
  How to find two positive rational numbers whose sum is 3/2 and if the greater is divided by the smaller the result is 2.? Two positive numbers, call them x and y (and let's say that y is greater than x) 

Sum is 3/2 
x + y = 3/2 

Division is 2 
y/x = 2 
The second equation gives us 
y = 2x 

We go back to the first equation and substitute this value for y (we put 2x in the place of y) 

x + y = 3/2 
becomes 
x + 2x = 3/2 
3x = 3/2 
x = 1/2 

Then y = 2x = 2/2 = 1 

Verification: 

x + y = 1/2 + 2/2 = 3/2 

y/x = 1/(1/2) 
dividing by a fraction = multiply by the inverse (flip the fraction) 
y/x = 1 * (2/1) = 2

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