X: y = 5:3 and x + y = 56
Work out the value of
х-у

Given X:Y is 5:3 and X+ Y =56 then:

From first statement::

     X/Y = 5/3. Thus X - Y x(5 /3)

Inserting X in the second statement:

                           X + Y = 56 then becomes {Y x (5/3) +Y} = 56

Adding all the Y's we have: (1+ 5/3) x Y = 56 or

           8/5 x Y = 56

Thus Y = 56 x (5/8). And knowing that 56 = 7 x 8.

This results in Y = (7x8) x 5/8 = 35

Then: X = 56 - Y = 21

X : y = 5 : 3 and x + y = 56

3x=5y and x + y = 56

3x=5y and  x=56-y

3(56-y)=5y and  x=56-y

168-3y=5y and  x=56-y

168=8y and  x=56-y

y=168/8 and  x=56-y

y=21 and  x=56-y

y=21 and x=35

x=35

y=21

Step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right