Question

X:y=5 :3 and x+y=56 work out x-y

Answer 1

The value of x - y is 14

Explanation:

∵ x : y = 5 : 3

→ Write it in the form of the fraction

∴
`(x)/(y)=(5)/(3)`

→ Multiply both sides by y

∴
`(x)/(y)` × y =
`(5)/(3)` × y

∴ x =
`(5)/(3)` y ⇒ (1)

∵ x + y = 56 ⇒ (2)

→ Substitute x in (2) by (1)

∴
`(5)/(3)` y + y = 56

→ Add the like terms

∵
`(8)/(3)` y = 56

→ Divide both sides by
`(8)/(3)`

∴ y = 21

→ Substitute the value of y in (1) to find x

∵ x =
`(5)/(3)` (21)

∴ x = 35

→ Now find the value of x - y

∵ x - y = 35 - 21

∴ x - y = 14

∴ The value of x - y is 14