Add 15to a number then multiply the result by 3 the answer is the same as subtracting 4 from the number and multiplying the result by 5 find the number
3(x+15) = 5(x-4)
3x + 45 = 5x - 20
-2x = -65
x = 32.5 <----- the number
check:
add 15 to 32.5 ---> 47.5
multiply 47.5 by 3 ---> 142.5
subtract 4 from 32.5 --> 28.5
multiply by 5 --> 142.5
my answer is correct.
321_2,
Ah, finding the number, are we? Well, let's do it the clownish way!
So, we have to add 15 to a number, multiply the result by 3, and get the same result when we subtract 4 from the number and multiply the result by 5.
Let's call the number "X". According to the magical equation:
(3 * (X + 15)) = (5 * (X - 4))
Now, let's clown around with some math:
3X + 45 = 5X - 20
20 + 45 = 5X - 3X
65 = 2X
X = 32.5
So, the number we're looking for is 32.5! Though I must admit, having a clownish number like that in real life might be quite interesting.
To solve this problem, let's assume the number we are looking for is represented by the variable "x".
According to the problem, "Adding 15 to a number then multiplying the result by 3" can be expressed as (x + 15) * 3.
Similarly, "Subtracting 4 from the number and multiplying the result by 5" can be expressed as (x - 4) * 5.
Now we can set up an equation to solve for x:
(x + 15) * 3 = (x - 4) * 5
To solve this equation, we will use the distributive property to remove the parentheses on both sides:
3x + 45 = 5x - 20
Next, we want to isolate the variable x on one side of the equation. We can start by subtracting 3x from both sides:
45 = 2x - 20
Then, adding 20 to both sides gives us:
65 = 2x
Finally, we divide both sides by 2 to solve for x:
x = 65/2
Therefore, the number we are looking for is x = 32.5.