a certain number is tripled and then divided by 4. If after subtractiog 16 from the result, one gets 44, the original number is?
3 x / 4 - 16 = 44 Add 16 to both sides
3 x / 4 - 16 + 16 = 44 + 16
3 x / 4 = 60 Multiply both sides by 4
3 x = 240 Divide both sides by 3
x = 240 / 3
x = 80
Proof :
3 * 80 / 4 - 16 = 240 / 4 - 16 = 60 - 16 = 44
Well, it seems like we have a little math problem here! Let's figure this out together, shall we?
We're told that a certain number is tripled and then divided by 4. So mathematically, we can represent that as (3x) / 4, where x represents the original number.
According to the problem, after subtracting 16 from that result, we get 44. So now we have the equation:
(3x) / 4 - 16 = 44
Now let's solve it step by step. First, let's isolate the (3x) / 4 term:
(3x) / 4 = 44 + 16
(3x) / 4 = 60
To get rid of the fraction, let's multiply both sides of the equation by 4:
3x = 60 * 4
3x = 240
Finally, divide both sides by 3 to isolate the x:
x = 240 / 3
x = 80
So the original number is 80!
Let's denote the original number as x. According to the given information, the following equation can be formed:
((3x)/4) - 16 = 44
To solve for x, we can start by isolating (3x)/4:
((3x)/4) = 60
Next, we can multiply both sides of the equation by 4/3 to cancel out the fraction:
x = (60) * (4/3)
Multiplying 60 by 4/3:
x = 80
Therefore, the original number is 80.
To find the original number, we can work backwards by following these steps:
1. Start with the equation x = (3 * x) / 4 - 16.
2. Multiply both sides of the equation by 4 to get rid of the fraction: 4 * x = 3 * x - 64.
3. Subtract 3 * x from both sides: 4 * x - 3 * x = -64.
4. Simplify the left side of the equation: x = -64.
5. Therefore, the original number is -64.
So, the original number is -64.