Question : The average of five positive numbers is 56. If the first number is three-fourths of the sum of the last four numbers, then the average of the last four numbers is:
Option 1: 35
Option 2: 40
Option 3: 30
Option 4: 50
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Correct Answer: 40
Solution :
Given: The average of five positive numbers is 56.
The first number is three-fourths of the sum of the last four numbers.
Use the formula, $\text{Average}=\frac{\text{The sum of values}}{\text{The total number of values}}$.
Let the sum of the last four numbers be $4x$.
⇒ The first number = $3x$
The sum of all the values = $4x+3x=56\times 5$.
⇒ $7x=280$
⇒ $x=40$
The average of the last four numbers = $\frac{4x}{4}=x=40$.
Hence, the correct answer is 40.
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