Question : The average of five consecutive numbers is 53. What is the biggest of these numbers?
Option 1: 52
Option 2: 55
Option 3: 53
Option 4: 54
Answer (1)
22nd Jan, 2024
Correct Answer: 55
Solution :
Let $x-2$, $x-1$, $x$, $x+1$, $x+2$ be the five consecutive odd numbers.
The average of five consecutive odd numbers = 53
Sum = 53 × 5 = 265
⇒ $x-2$ + $x-1$ + $x$ + $x+1$ + $x+2$ = 265
⇒ $5x$ = 265
⇒ $x$ = 53
$\therefore$ Highest number = 53 + 2 = 55
Hence, the correct answer is 55.
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