If x ∶ y = 3 ∶ 2 and x + y = 90, then the value (x – y) is :

A) 12

B) 18

C) 16

D) 10

Given data

x : y = 3 : 2

x + y = 90

Detailed solving:

Let assume the value as 3a and 2a

x + y = 3a + 2a

⇒ 3a + 2a = 90

⇒ 5a = 90

⇒ a = 18

⇒ x = 3a =3(18) = 54

⇒ y = 2a =2(18) = 36

⇒ x – y = 54 – 36 = 18

∴ The value (x – y) is 18

Answer 18