Respuesta :

Answer:

x = 35

y = 21

x - y = 14

Step-by-step explanation:

x/y = 5/3 => x = 5y/3

x + y = 56 => 5y/3 + y = 56 => 8y/3 = 56 => y/3 = 7 => y = 21 => x = 56 - 21 = 35 => x- y = 35 - 21 = 14

Answer: The value of x-y is 14.

Step-by-step explanation:

If  x:y=5:3   is equal to x+y=56  then you can say that 5/8 of 56 is equal to the value of x  and 3/8 of 56 is equal to the value of y.  

so x= [tex]\frac{5}{8}*56[/tex]  

    x = 0.625 * 56

  x = 35  

And   y=   3/8 *56

     y= 0.375 *56

    y= 21      

Check: 35 + 21 =56

Now we know the value of x is 35 and the value of x is 21.

so x- y has to be 35 -21 = 14