Practicing Success
The average of 24 numbers is 43. If we subtract a number 'M' from each number, then the average becomes 38. What was the value of M? |
12 5 7 10 |
5 |
Average of 24 numbers = $\frac{Sum\;of\;numbers}{24}$ ⇒ $\frac{Sum\;of\;numbers}{24}$ = 43 ⇒ Sum of numbers = 43 x 24 If 'M' is subtracted from each number, total of 43M is subtracted from the sum, such that New sum of the numbers = 43 x 24 - 24M = 24(43 - M) New average = $\frac{24(43-M)}{24}$ ⇒ $\frac{24(43-M)}{24}$ = 38 ⇒ 43 - M = 38 Thus, M = 5 |