Question

Half the difference of a number and seven equals 3/

Answer 1

To solve this problem, we can represent the unknown number as "x".

The half difference between a number and seven can be expressed as (x - 7)/2.

According to the problem, this expression equals 3/4. Therefore, we can write the equation:

(x - 7)/2 = 3/4

To simplify the equation, we can cross multiply:

4(x - 7) = 3(2)

Simplifying further, we have:

4x - 28 = 6

Adding 28 to both sides of the equation:

4x = 6 + 28

This results in:

4x = 34

Finally, dividing both sides by 4:

x = 34/4

Therefore, the unknown number is x = 8.5.