# 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) 56Option 3) 72               Option 4) 108Option 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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