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?
Answer & explanation
Correct answer: option 3
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
$\text{Sum of 2 numbers} = 184 - 114 = 70$