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

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

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$let Number\: be\: x, y ,\: z$
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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