If x:y 5:3 and x+y 56Work out the value of x+y

Answer 1

Hi there,

Given X:Y is 5:3 and X+ Y =56 (if this is you put on he screen) 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