Four more than half of certain number is seven less than the number. What is the number?
Question
Four more than half of certain number is seven less than the number. What is the number?
Solution
Let's denote the number as x.
According to the problem, four more than half of the number is seven less than the number. We can write this as an equation:
1/2 * x + 4 = x - 7
To solve for x, we first get rid of the fraction by multiplying every term by 2:
x + 8 = 2x - 14
Then, we can isolate x by subtracting x from both sides:
8 = x - 14
Finally, we solve for x by adding 14 to both sides:
x = 22
So, the number is 22.
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