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
Solution(By Examveda Team)
Let the number be x, x + 1, x + 2, x + 4, x + 5 and x + 6Then,
$$ \Rightarrow \frac{{x + \left( {x + 1} \right) + \left( {x + 2} \right) + \left( {x + 3} \right) + \left( {x + 4} \right) + \left( {x + 5} \right) + \left( {x + 6} \right)}}{7} = 20$$
$$\eqalign{ & \Rightarrow 7x + 21 = 140 \cr & \Rightarrow 7x = 119 \cr & \Rightarrow x = 17 \cr} $$
∴ Largest number
= x + 6 = 17 + 6
= 23
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