The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28^th number is 67. If the 26^th and 27^th numbers ate excluded, then what is the average of the remaining numbers ?

50

Sum of 46 numbers = 50.5 x 46 = 2323

Sum of 1st 25 numbers = 45 x 25 = 1125

Sum of last 18 numbers = 56 x 18 = 1008

Sum of 26th, 27th and 28th numbers = 2323 - 1125 - 1008 = 190

Sum of excluded numbers = 190 - 67 = 123

Sum of 44 numbers excluding 26th and 27th = 2323 - 123 = 2200

Average of 44 numbers = \(\frac{2200}{44}\) = 50