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
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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