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 - Mathematics

MCQ

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

• 18

• 36

• 54

• 108

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

Concept: Ratio and Proportion (Entrance Exam)
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