Question : The mean of five numbers is 45. If a sixth number is also included, the mean becomes 48. Find the sixth number.
Option 1: 73
Option 2: 63
Option 3: 43
Option 4: 53
Correct Answer: 63
Solution :
The mean or average of five numbers = 45
Sum of the five numbers = 5 × 45 = 225
When the sixth number is also included, the mean becomes 48.
Sum of the six numbers = 6 × 48 = 288
The sixth number = 288 – 225 = 63
Hence, the correct answer is 63.
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