The average of 7 consecutive numbers is 20 The largest of…

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The average of 7 consecutive numbers is 20. The largest of these numbers is-

  1. A. 20
  2. B. 22
  3. C. 23
  4. D. 24

Answer: Option C

Here is complete explanation of The average of 7 consecutive numbers is 20 The largest of….

Solution(By ExamCraze Team)

Let the number be x, x + 1, x + 2, x + 4, x + 5 and x + 6
Then,
$$ Rightarrow frac{{x + left( {x + 1} right) + left( {x + 2} right) + left( {x + 3} right) + left( {x + 4} right) + left( {x + 5} right) + left( {x + 6} right)}}{7} = 20$$
$$eqalign{ & Rightarrow 7x + 21 = 140 cr & Rightarrow 7x = 119 cr & Rightarrow x = 17 cr} $$

∴ Largest number
= x + 6 = 17 + 6
= 23

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