Correct Answer - Option 4 : 144
Given
The average of 8 numbers = 99.
The difference between the largest two numbers = 18
The average of the remaining 6 numbers = 87
Formula Used
Average = Total sum of observation/No. of observation
Calculation
Total of 8 numbers = 99 x 8=792
Total of 6 numbers = 87 x 6 = 522
Total of 2 numbers = 792 - 522 = 270
Difference of 2 numbers =18. (let numbers be x & y)
⇒ 2x = 270 + 18 = 288
⇒ 2x = 288
⇒ x = 144
⇒ y = 126,
∴ Largest number = 144