Question
The average of five number is 12 and the average of
three of those number is 14Find the average of the rest of the two numbers.Solution
ATQ, Step 1: Find the sum of all five numbers. The average of five numbers is 12, so the sum of all five numbers is 5 × 12 = 60. Step 2: Find the sum of three of those numbers. The average of three of those numbers is 14, so the sum of those three numbers is 3 × 14 = 42. Step 3: Find the sum of the remaining two numbers. To find the sum of the remaining two numbers, subtract the sum of three numbers from the sum of all five numbers: Sum of remaining two numbers = Sum of all five numbers - Sum of three numbers Sum of remaining two numbers = 60 - 42 = 18. Step 4: Find the average of the remaining two numbers. To find the average of the remaining two numbers, divide their sum by 2 (since there are two numbers): Average of remaining two numbers = Sum of remaining two numbers / 2 Average of remaining two numbers = 18 / 2 = 9. So, the average of the remaining two numbers is 9.
42, 54, 78, 114, 168, 222
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