Answer:
The value of x - y is 14
Step-by-step explanation:
∵ x : y = 5 : 3
→ Write it in the form of the fraction
∴ [tex]\frac{x}{y}=\frac{5}{3}[/tex]
→ Multiply both sides by y
∴ [tex]\frac{x}{y}[/tex] × y = [tex]\frac{5}{3}[/tex] × y
∴ x = [tex]\frac{5}{3}[/tex] y ⇒ (1)
∵ x + y = 56 ⇒ (2)
→ Substitute x in (2) by (1)
∴ [tex]\frac{5}{3}[/tex] y + y = 56
→ Add the like terms
∵ [tex]\frac{8}{3}[/tex] y = 56
→ Divide both sides by [tex]\frac{8}{3}[/tex]
∴ y = 21
→ Substitute the value of y in (1) to find x
∵ x = [tex]\frac{5}{3}[/tex] (21)
∴ x = 35
→ Now find the value of x - y
∵ x - y = 35 - 21
∴ x - y = 14
∴ The value of x - y is 14
