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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