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Of the three numbers the first is twice the second and…

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Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the numbers is $$\frac{7}{72}$$ . The numbers are:

  1. A. 16, 8, 4
  2. B. 20, 10, 5
  3. C. 24, 12, 6
  4. D. 36, 18, 9

Answer: Option C

Here is complete explanation of Of the three numbers the first is twice the second and….

Solution(By ExamCraze Team)

Let the number be x.
Then, second number = 2x.
First number = 4x.
∴ $$frac{1}{x}$$ + $$frac{1}{2x}$$ + $$frac{1}{4x}$$ = $$frac{7}{72}$$ × 3
⇒ $$frac{7}{4x}$$ = $$frac{7}{24}$$
⇒ 4x = 24
⇒ x = 6
So, the number are 24, 12 and 6

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