I add 12 to a number and then double their result the result is one and a half times what I get when I double the original number and add 12 find the number
2( n+12) = 1.5( 2n +12)
2 n + 24 = 3 n + 18
n = 24 - 18
Actually that is not my name
x = the number
When you add 12 to the number,it will be:
x + 12
When you double it,
it will be:
2 ( x + 12 ) = 2 x + 24
the result = 1.5 ( 2 x + 12 ) =
3 x + 18
therfore:
2 x + 24 = 3 x + 18
Subtract 2x to both sides.
24 = x + 18
Subtract 18 to both sides.
6 = x
x = 6
To solve this problem, let's break it down step by step.
Let's assume the number is represented by "x."
Step 1: "I add 12 to a number"
By adding 12 to the number, we get x + 12.
Step 2: "Double their result"
To double the result of x + 12, we multiply it by 2: 2(x + 12) = 2x + 24.
Step 3: "Double the original number and add 12"
To double the original number, we multiply it by 2: 2x.
Then we add 12 to that result: 2x + 12.
Step 4: "The result is one and a half times what I get when I double the original number and add 12"
This can be written as: 2x + 24 = 1.5(2x + 12).
Now we have an equation. Let's solve it to find the value of x.
2x + 24 = 1.5(2x + 12)
Distribute 1.5 to the terms inside the parentheses:
2x + 24 = 3x + 18
Subtract 2x from both sides to isolate the x term:
24 = x + 18
Subtract 18 from both sides:
6 = x
Therefore, the number is 6.