The average of five consecutive numbers is 53. What is the biggest of these numbers? |
52 55 53 54 |
55 |
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 |