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

workout the value of x-y

x - y = 14

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide 56 by 8 to find the value of one part of the ratio.

56 : 8 = 7 ← value of 1 part of the ratio, thus

x = 5 * 7 = 35

y = 3 * 7 = 21

Thus x - y = 35 - 21 = 14