# 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 :

**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.