When 8 is added to a certain number and the sum is multiplied by 3 , the result is 57 .find the number
To find the number, we can translate the given information into an equation and then solve for the unknown number.
Let's call the unknown number "x".
According to the problem, when 8 is added to the unknown number, we get x + 8.
Now, when this sum is multiplied by 3, we get 3 * (x + 8).
The problem states that the result of this multiplication is 57.
So, we can set up the equation as follows:
3 * (x + 8) = 57
To solve for x, we need to isolate it on one side of the equation.
First, let's simplify the equation:
3x + 24 = 57
Next, let's get rid of the constant term on the left side by subtracting 24 from both sides of the equation:
3x = 57 - 24
This simplifies to:
3x = 33
Now, to isolate x, we can divide both sides of the equation by 3:
x = 33 / 3
This gives us:
x = 11
Therefore, the number we are looking for is 11.
To summarize:
- Translate the given information into an equation: 3 * (x + 8) = 57
- Simplify the equation: 3x + 24 = 57
- Subtract 24 from both sides: 3x = 33
- Divide both sides by 3: x = 11