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

  • Option 1)

    24                              

  • Option 2)

    56

  • Option 3)

    72               

  • Option 4)

    108

  • Option 5)

       36                            

Answers (1)

let Number\: be\: x, y ,\: z
according to question y=2x, y=3z
Avg. = 44
Sum = 3*44=132
x+y+z=132

(\frac{y}{2})+y+(\frac{y}{3}) = 132
\Rightarrow 11y = 132*6
\Rightarrow y=72
so\: x= 36, z= 24
Largest\: =y=72


 

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