The mean of 6 numbers is 19. If two more numbers are included, the mean of the 8 numbers becomes 23. What is the sum of the two included numbers?

70

The correct answer is Option (3) → 70

Step 1: Sum of the first 6 numbers

Mean = 19, Number of terms = 6

$\text{Sum of 6 numbers} = 6 \times 19 = 114$

Step 2: Sum of 8 numbers with new mean

New mean = 23, Number of terms = 8

$\text{Sum of 8 numbers} = 8 \times 23 = 184$

Step 3: Sum of the two added numbers

$\text{Sum of 2 numbers} = 184 - 114 = 70$