Question

Of the three numbers, the first is one third of the second and twice the third. The average of these numbers is $27$. The largest of these numbers is

• A. $18$
• B. $36$
• C. $54$
• D. $108$

Answer 1

Answer: (C)

$54$

Let the three numbers be $a,b$ and $c$.
According to the question,
$a=\frac{1}{3}b,b=3a$
$a=2c,c=a/2$
and $\frac{a+b+c}{3}=27$
$\Rightarrow a+3a+\frac{a}{2}=27\times 3$
$\Rightarrow 9a=27\times 3\times 2$
$a=9\times 2=18$
Largest number $b=18\times 3=54$.