Jason is thinking of a number. He adds 8, multiplies by 2, subtracts 4,and then divides by 2. The result is twenty-four. What number is Jason thinking of?
I got 18. How did you get your answer?
You're right. 18 is the answer.
18 + 8 = 26
26 * 2 = 52
52 - 4 = 48
48 / 2 = 24
Think of the number x
He adds 5 ---- x+8
multiplies by 2 ---- 2x+16
subtracts 4 ----- 2x+12
divides by 2 ---- x+6
So the result is 6 more than the number Jason was thinking of.
(24 is 6 more than 18)
To find the number that Jason is thinking of, we need to reverse the operations that were performed on the number to get the final result of 24.
Let's go step by step:
1. Jason adds 8 to the number.
2. Jason multiplies the result by 2.
3. Jason subtracts 4 from the previous result.
4. Jason divides the final result by 2.
To reverse these operations, we'll start with the final result and work backward.
1. Dividing the final result by 2: Since the result is 24, we can reverse the division by multiplying 24 by 2, which gives us 48.
2. Subtracting 4: To reverse this operation, we add 4 to 48, which gives us 52.
3. Multiplying by 2: To reverse this operation, we divide 52 by 2, which gives us 26.
4. Adding 8: To reverse this operation, we subtract 8 from 26, which gives us the final answer of 18.
Therefore, the number that Jason is thinking of is 18.