Answer:
Let "x" and y" be the two numbers.
We have
xy = 5/6, (1) and x/y = 15/8. (2)
Multiply (1) and (2) (both sdes). You will get
x^2 = (5*15)/(6*8) = 25/16.
Hence, x = +/- 5/4.
Next, divide (1) by (2) (both sides). You will get
y^2 = 5/6:15/8 =
(5*8)/(6*15) = 4/9.
Hence, y=+/-2\/3.
Answer. There are two solutions: (x, y)=(5\/4,2\/3) and (x,y) = (-5/4,-2/3).
// We should exclude the second solution, since the numbers are negative.