The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

Solution (By Examveda Team)

$$\eqalign{ & x + x + 1 + \,.......\, + x + 7 = 38.5 \times 8 = 308 \cr & 8x + 28 = 308 \cr & x = \frac{{308 - 28}}{8} \cr & x = \frac{{280}}{8} = 35 \cr & {\text{Lergest number}} = x + 7 \cr & = 35 + 7 \cr & = 42 \cr} $$