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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

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#### Solution

**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

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