john is think of a number. If you divide the difference of his number and 12 by 7, and then add 23, the result is 32. what is the number and can you explain your answer?
Let the number be x.
Difference of his number and x = (x-12)
"divide the difference of his number and 12 by 7, and then add 23, the result is 32"
(x-12)\÷ 7 + 23 = 32
Can you solve for x?
((x-12)÷ 7) + 23 = 32
To find John's number, we need to follow the steps given in the problem. Let's go through them one by one:
Step 1: Divide the difference of his number and 12 by 7.
Let's say John's number is x. The difference between his number and 12 would be (x - 12). So, we have (x - 12) / 7.
Step 2: Add 23 to the result obtained in step 1.
Since the result from Step 1 is (x - 12) / 7, we add 23 to it. The equation now becomes (x - 12) / 7 + 23.
Step 3: The result obtained in step 2 is 32.
Using the equation from step 2, we have (x - 12) / 7 + 23 = 32.
Now, to find John's number, we need to solve this equation:
(x - 12) / 7 + 23 = 32
To simplify the equation, we first subtract 23 from both sides:
(x - 12) / 7 = 32 - 23
(x - 12) / 7 = 9
Next, we multiply both sides of the equation by 7 to isolate (x - 12):
7 * ((x - 12) / 7) = 7 * 9
x - 12 = 63
Finally, we add 12 to both sides to find the value of x:
x - 12 + 12 = 63 + 12
x = 75
Therefore, John's number is 75.