The average of five consecutive numbers is 53. What is the biggest of these numbers?
Answer & explanation
Correct answer: option 2
Five consecutive numbers can be written as: n, n+1, n+2, n+3, n+4
where, n is natural number
Average = $\frac{Sum\; of\; these\; numbers}{5}$
= $\frac{n+n+1+n+2+n+3+n+4}{5}$
= $\frac{5n+10}{5}$
= n+2
We know, the average = 53
⇒ n+2 = 53
⇒ n = 51
The biggest number among these numbers is n+4 = 51 + 4 = 55