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The average of 8 numbers is 99. The difference between the largest two numbers is 18 The average of the remaining 6 numbers is 87 The largest among the 8 is :
1. 190
2. 185
3. 126
4. 144

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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

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