The unknown number is found to be 8 by solving the equation 2x - 7 = 9. Verification confirms that substituting x = 8 satisfies the given condition, making 8 the solution.
Let's denote the unknown number as x. The given information can be translated into a mathematical expression. The problem states that the difference of twice the number and seven is 9. Mathematically, this can be represented as:
2x - 7 = 9
To solve for x, we can isolate x by adding 7 to both sides of the equation:
2x = 16
Then, divide both sides by 2 to find the value of x:
x = 8
Therefore, the unknown number is 8. To verify, substitute x = 8 back into the original equation:
2(8) - 7 = 16 - 7 = 9
The equation holds true, confirming that the solution is x = 8. Hence, the number is 8.
The probable question may be:
The difference of twice a number and seven is 9. Find the number.