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The average of the three numbers is 20. If two numbers are 14 and 28, then find the third number.
Question

The average of the three numbers is 20. If two numbers are 14 and 28, then find the third number.

A.

18

B.

26

C.

10

D.

24

Correct option is A

Given:

1. The average of three numbers = 20

2. Two of the numbers are 14 and 28 .

Formula Used:

The formula for the average is:

Average=Sum of all numbersTotal count of numbers\text{Average} = \frac{\text{Sum of all numbers}}{\text{Total count of numbers}}

Rearranging to find the sum of all numbers:

Sum of all numbers=Average×Total count of numbers\text{Sum of all numbers} = \text{Average} \times \text{Total count of numbers}

The third number can be calculated as:

Third number=Sum of all numbers(First number+Second number)\text{Third number} = \text{Sum of all numbers} - (\text{First number} + \text{Second number})

Solution:

1. Calculate the sum of all three numbers:

Sum of all numbers=20×3=60\text{Sum of all numbers} = 20 \times 3 = 60

2. Calculate the third number:

Third number = 60 - (14 + 28)

Simplify:

Third number = 60 - 42 = 18


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