Question

Mean of 28, 30, 26, (K+6) and (K+1) is 25. Find the mean of 32, 39 and 2k

• A. 25
• B. 30
• C. 35
• D.

Answer 1

The Correct Option is C

To solve the problem, we first need to find the value of \( K \) from the given mean condition and then use this value to find the mean of the second set of numbers.

1. Calculate \( K \): The mean of the numbers 28, 30, 26, \( (K+6) \), and \( (K+1) \) is given as 25. To find \( K \), we set up the equation for the mean as follows:

(28 + 30 + 26 + (K+6) + (K+1)) / 5 = 25

Simplify the terms inside the parentheses:

28 + 30 + 26 + K + 6 + K + 1 = 91 + 2K

The equation becomes:

(91 + 2K) / 5 = 25

Multiply both sides by 5:

91 + 2K = 125

Solve for \( 2K \) by subtracting 91 from both sides:

2K = 125 - 91 = 34

Divide by 2 to solve for \( K \):

K = 34 / 2 = 17

2. Calculate the mean of the numbers 32, 39, and \( 2K \): We have \( K = 17 \), so \( 2K = 34 \). Now calculate the mean:

(32 + 39 + 34) / 3

First, sum the numbers:

32 + 39 + 34 = 105

Divide by 3 to find the mean:

105 / 3 = 35

The mean of 32, 39, and \( 2K \) is 35. Therefore, the correct answer is 35.