. I am thinking of a whole number. If I divide it by 13,
then multiply the answer by 12, then subtract 20, and
then add 89, I end up with 93. What was my original
number?
What is this a trick question or a real question on a test?
I think it would be 26.
I just solved it. Yes it would be 26. Would you like to see how I got that answer?
26/13 = 2
2 x 12 = 24
24 - 20 = 4
89 + 4 = 93
You answer would be 26.
Did that help?
To find the original number, we need to reverse the steps of the given operations.
Let's break down the given equation step by step:
1. Divide the original number by 13: x / 13
2. Multiply the result by 12: (x / 13) * 12
3. Subtract 20: ((x / 13) * 12) - 20
4. Add 89: (((x / 13) * 12) - 20) + 89 = 93
To solve this equation, we need to isolate the variable 'x' (the original number). Let's go through the steps:
1. ((((x / 13) * 12) - 20) + 89 = 93
First, let's simplify the equation within the parentheses:
2. (((12x / 13) - 20) + 89 = 93
Next, let's simplify further by multiplying 12 and dividing by 13:
3. ((12x - 260) / 13) + 89 = 93
Now, let's rearrange the equation to isolate 'x':
4. ((12x - 260) / 13) = 93 - 89
Simplifying the right side of the equation gives us:
5. (12x - 260) / 13 = 4
To get rid of the fraction, we multiply both sides of the equation by 13:
6. 12x - 260 = 4 * 13
Simplifying the right side of the equation gives us:
7. 12x - 260 = 52
Next, we can solve for 'x' by isolating the variable:
8. 12x = 52 + 260
Simplifying the right side of the equation gives us:
9. 12x = 312
Finally, we divide both sides of the equation by 12 to solve for 'x':
10. x = 312 / 12
Evaluating the right side of the equation gives us:
11. x = 26
Therefore, the original number is 26.
To verify, let's substitute x = 26 into the equation we started with:
(((26/13)*12)-20)+89 = 93
(2*12-20)+89 = 93
(24-20)+89 = 93
4+89 = 93
93 = 93
The equation holds true, confirming that the original number is indeed 26.
(x/13)(12)-20+89 = 93
x = 26