Think logically not mathematically [Part-38]

$x/y = y.x = y+0.1x$

$x = y^{2}+0.1xy$

$x$ must be a single digit number and not 0 to only be a single decimal. $y$ must also be a single digit number. $x$ is a whole number as is $y^{2}$ so $0.1xy$ must also be a whole number and this requires $xy$ to be a multiple of 10. Therefore, one of these must be 5 and the other an even number.Therefore $y$ is at least 1. For the fraction to equal a decimal with integer part 2 or more and to include 5, 5 cannot be the denominator as the biggest value would be 9/y=1.8, so 5 must be on the top and 2 on the bottom, 5/2=2.5

The two numbers x and y are 5 and 2 respectively

$\frac{5}{2} = 2.5$

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