Of three numbers, second is twice first and thrice third. If average of three numbers is 44, then la

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4.Average

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

A

$24$

B

$72$

C

$36$

D

$108$

Solution

Let the third Number $=x$

The second Number $=3 x$

and first Number $=\frac{3 x}{2}$

According to the question

$x+3 x+\frac{3 x}{2}=44 \times 3 \Rightarrow \frac{2 x+6 x+3 x}{2}=132$

$x=\frac{132 \times 2}{11} \Rightarrow x=24$

Largest Number $=24 \times 3=72$

Standard 13

Quantitative Aptitude

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