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The average of five numbers is 612. If the average of the first two numbers is 418 and the average of the last two numbers is 521, find the third number.
1. 1172
2. 1182
3. 1185
4. 1180

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Correct Answer - Option 2 : 1182

Given:

The average of five numbers = 612

The average of the first two numbers = 418

The average of the last two numbers = 521

Concept used:

Average = sum of elements/number of elements

Calculation:

Sum of all five numbers = 612 × 5 = 3060

Sum of first two numbers = 418 × 2 = 836

Sum of last two numbers = 521 × 2 = 1042

Sum of all five numbers = Sum of first two numbers + third number + Sum of last two numbers 

3060 = 836 + third number + 1042

Third number = 3010 - 836 - 1042 = 1182

∴ The third number is 1182.

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