Question

Of the three numbers, the first is one-third of the second and twice the third. The average of these numbers is 27. The largest of these numbers is

Options

• 18

• 36

• 54

• 108

Answer 1

54

Explanation:

Let the three numbers be a, b and c.

According to the question,

`"a"=1/3"b",` .......(b = 3a)

a = 2c  .............(c = a/2)

and `("a"+"b"+"c")/3=27`

⇒ a  + 3a + `"a"/2`= 27 × 3

⇒ 9a = 27 × 3 × 2