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Of the three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 44. the largest number is:(1) 24 (2)72 (3) 36 (4)108

March 21, 2024

Solution:

Let third number be x.

:. Second number = 3x

and first number = 3x/2

Now , x+3x+3x/2= 3*44

⇒ 8x+3x/2 = 3*44

⇒ 11x= 6*44

⇒ x= 6*44/11= 24

:. The largest number

= 3x = 3*24= 72

Then the option in (2) 72