Question

The Range of 7 ,10,5,x,6 is 8 then x​

Answer 1

Given:

Given numbers are: 7, 10, 5, $x$, 6

Also, the range of given numbers is equal to 8.

To find:

We should find the value of $x$.

Solution:

Before solving the question, we should know the meaning of Range.

Generally, the range is the difference between largest number and smallest number from the given numbers.

Let the smallest number is $x$.

According to the question, range of 7, 10, 5, $x$, 6 is equal to 8.

So,

$\Rightarrow 10-x=8$

Rearranging the terms,

$\Rightarrow 10-8=x$

$\Rightarrow 2=x$

$\Rightarrow x=2$

Therefore, the value of $x$ is equal to 2.