Question
Download Solution PDFThe sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 106. Find the average of the remaining two numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of five numbers = 655
Average of the first two numbers = 76
Third number = 106
Formula Used:
Average = (Sum of numbers) / (Number of numbers)
Total sum of the first two numbers = Average × 2
Sum of the remaining two numbers = Total sum - (Sum of the first two numbers + Third number)
Average of the remaining two numbers = (Sum of the remaining two numbers) / 2
Calculation:
Total sum of the first two numbers = 76 × 2
⇒ Total sum of the first two numbers = 152
Sum of the remaining two numbers = 655 - (152 + 106)
⇒ Sum of the remaining two numbers = 655 - 258
⇒ Sum of the remaining two numbers = 397
Average of the remaining two numbers = 397 / 2
⇒ Average of the remaining two numbers = 198.5
The average of the remaining two numbers is 198.5.
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