The average of 7 consecutive numbers is 20. The largest of these numbers is-
A. 20 B. 22 C. 23 D. 24 Answer: Option CShow Answer
Solution(By Apex Team)
Let the number be x, x + 1, x + 2, x + 4, x + 5 and x + 6
Then,
$\begin{array}{l}\Rightarrow\left(\Large\frac{x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)}{7}\right)=20\\
\Rightarrow\ 7x+21=140\\
\Rightarrow\ 7x=119\\
\Rightarrow\ x=17\\
\text{∴ Largest number}\\
\text{= x + 6 = 17 + 6}\\
\text{= 23}\end{array}$
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