Of the three numbers, second is twice the first and is also thrice the If the average of the three numbers is 44, the largest number is :

  1. 24
  2. 72
  3. 36
  4. 108
Anurag Mishra Professor Asked on 23rd January 2016 in Maths.
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1 Answer(s)

Answer: (2) 72 

Explanation:-
Let the third number be X

Second is twice the first and is also thrice,
Then, Second number = 3 X  & first number = (3 X)/2 
 = 3 X/2

The average of three numbers = 44
Therefore, the sum of three numbers = 3 x 44
  = 132

Then, 3 X/2 + 3 X + X = 132
(3 X + 6 X + 2 X)/2 = 132
11 X/2 = 132
11 X = 132 x 2
X = 132 x 2/11
X = 12 x 2
X = 24

So, the largest number = 24 x 3 
 = 72

Hence, the correct answer is option (2) 72. 

Anurag Mishra Professor Answered on 23rd January 2016.
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