Final answer:
The equation '4x - 7 = 10' is solved by isolating the variable x, resulting in x = 4.25 which is the number in question.
Step-by-step explanation:
The student's question relates to setting up and solving a basic algebraic equation. The phrase 'the difference of four times a number and seven is ten' translates to the equation 4x - 7 = 10, where x represents the unknown number we are trying to find.
To solve for x, we add 7 to both sides of the equation to isolate the term with the variable:
- 4x - 7 + 7 = 10 + 7
- 4x = 17
Next, we divide both sides by 4 to find the value of x:
Thus, the number that satisfies the given condition is 4.25.