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**