Of three numbers, second is thrice first and third number is three-fourths of first.If average of th

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4.Average

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Of three numbers, the second is thrice the first and the third number is three-fourths of the first.If the average of the three numbers is $114,$ the largest number is

A

$72$

B

$216$

C

$354$

D

$726$

Solution

Let, the first number is $x$.

$\therefore \quad$ Second number $=3 x$ and the third number $=\frac{3 x}{4}$

Now, according to the question,

$x+3 x+\frac{3 x}{4}=3 \times 114$

$\Rightarrow \frac{4 x+12 x+3 x}{4}=342$

$\Rightarrow 19 x=342 \times 4$

$\therefore \quad x=\frac{342 \times 4}{19}=72$

$\therefore \quad$ Largest number $=3 x=3 \times 72=216$

Standard 13

Quantitative Aptitude

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