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Question

The sum of three numbers is 264.If the first number be twice the second and third number be one-third of the first, then the second number is:


A
48
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B
54
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C
72
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D
84
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Solution

The correct option is C $$72$$
Let the second number be $$x$$.

Since, 
The first number $$=2x$$
And the third number $$=\dfrac{2x}{3}$$

Sum $$=264$$
$$2x+x+\dfrac{2x}{3}=264$$
$$3x+\dfrac{2x}{3}=264$$
$$\dfrac{11x}{3}=264$$
$$11x=264\times 3$$
$$x=72$$

Hence, the second number is $$72$$.

Mathematics

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