The midpoint between x and 40 is 25. Find x.

x = 10

Step-by-step explanation:

If the midpoint between these two values is 25, then it should be that 25 is the median of the set { x40 }. In other words, 25 is equidistant from x and 40, and as 40 - 25 = 15, 25 - x = 15 ( the value between x and 40 - { x40 } -are consecutive. )

Therefore we can conclude the following -

25 - x = 15,

- x = - 10,

x = 10

We can check this value. The absolute value difference between 10 and 25 is 15, respectively the difference between 40 and 25 is 15. They have a common difference, and hence 25 is the midpoint between those two values.