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The average of 7 consecutive numbers is 20. The largest of these numbers is-
- A. 20
- B. 22
- C. 23
- 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
