Question

D)x+1, 2x -1, 3x + 4 and 3x + 4 are in ascending order. If its median is 12, find the value of x ​

Answer 1

We are given that the numbers x+1, 2x-1, 3x+4, and 3x+4 are in ascending order. The median of these numbers is 12.

To find the median, we need to arrange the numbers in order from least to greatest.

x+1, 2x-1, 3x+4, 3x+4

The median is the middle number. If there are an odd number of numbers, the median is the middle number. If there are an even number of numbers, the median is the average of the two middle numbers.

In this case, we have four numbers, so the median is the average of the two middle numbers.

The two middle numbers are 2x-1 and 3x+4.

The median is:

(2x-1 + 3x+4) / 2 = 12

Simplifying the equation:

5x + 3 = 24

5x = 21

x = 4.2

Therefore, the value of x is 4.2.

Answer 2

To find the value of x, we need to determine the median of the given expressions and set it equal to 12.

The expressions in ascending order are:

x + 1, 2x - 1, 3x + 4, 3x + 4

The median is the middle value when the expressions are arranged in ascending order. Since there are four expressions, the median will be the average of the two middle values.

The two middle values are 2x - 1 and 3x + 4.

To find the average, we add these two expressions and divide by 2:

(2x - 1 + 3x + 4) / 2 = (5x + 3) / 2

We set the median equal to 12:

(5x + 3) / 2 = 12

To solve for x, we multiply both sides of the equation by 2 and then subtract 3:

5x + 3 = 24

5x = 24 - 3

5x = 21

x = 21 / 5

x = 4.2

Therefore, the value of x is 4.2.