Question : The average of 5 consecutive natural numbers is 43. The largest of these numbers is:
Option 1: 41
Option 2: 43
Option 3: 45
Option 4: 46
Correct Answer: 45
Solution :
Let the numbers be $x, (x+1), (x+2), (x+3), (x+4)$.
Given average = 43
According to the question:
Average $=\frac{x+x+1+x+2+x+3+x+4}{5}=43$
⇒ $\frac{5x+10}{5}=43$
⇒ $5x+10=215$
⇒ $5x=205$
⇒ $x=41$
$\therefore$ The largest natural number $=(x+4)=41+4=45$
Hence, the correct answer is 45.
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