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The average of five results is 46 and that of the first four is 45, the fifth result is? 
  • a)
    10 
  • b)
    43 
  • c)
    50 
  • d)
    125 
Correct answer is option 'C'. Can you explain this answer?
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The Problem

We are given that the average of five results is 46 and that the average of the first four results is 45. We need to determine the value of the fifth result.

Understanding Averages

Before we solve this problem, let's quickly review the concept of averages. The average of a set of numbers is found by adding up all the numbers in the set and dividing the sum by the total number of values.

For example, if we have the numbers 2, 4, 6, and 8, the average is calculated as follows:
(2 + 4 + 6 + 8) / 4 = 20 / 4 = 5

Solution

Let's assume the value of the fifth result is 'x'. We can set up the following equation based on the information given:
(45 * 4 + x) / 5 = 46

Step 1: Calculate the sum of the first four results
45 * 4 = 180

Step 2: Rewrite the equation with the sum and the unknown value
(180 + x) / 5 = 46

Step 3: Solve for x
To solve for x, we can multiply both sides of the equation by 5:
180 + x = 46 * 5
180 + x = 230

Next, we can subtract 180 from both sides of the equation:
x = 230 - 180
x = 50

Conclusion

Therefore, the value of the fifth result is 50, so the correct answer is option C.
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The average of five results is 46 and that of the first four is 45, the fifth result is?a)10b)43c)50d)125Correct answer is option 'C'. Can you explain this answer?
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