when a certain number is added to 11 and the result is multiplied by 3, the final result is 45. Find the number.
3(x+11)=45
3x+33=45
3x=45-33
3x=12
X=4
(11+×)(3)=45
(11+x)(3)=45
5x+1/2=11
x_3x=33_12
To find the number that, when added to 11 and then multiplied by 3, gives a final result of 45, we can solve this problem using algebra.
Let's denote the unknown number as "x".
Given that when x is added to 11 and then multiplied by 3, the final result is 45, we can write the equation as:
3*(11 + x) = 45
Now, let's solve for x:
First, distribute the multiplication over the parentheses:
33 + 3x = 45
Next, subtract 33 from both sides of the equation:
3x = 45 - 33
Simplify:
3x = 12
Finally, divide both sides of the equation by 3 to isolate x:
x = 12 / 3
Simplify:
x = 4
Therefore, the number we are looking for is 4.