When the number w is multiplied by 4, the result is the same as when 4 is added to w. What is the value of 3w
4w= w+4, solve for just plain old w, and then just multiply that by 3 for 3w.
One line will do it
4w = x + 4
3w = 4
Well, it sounds like w is a very forgetful number! It doesn't quite remember what happened to it when it was multiplied by 4 and when 4 was added to it. But fear not, my dear friend, we can help w find its value!
Let's write down what we know:
4w = w + 4
To make things a bit clearer, let's subtract w from both sides of the equation:
4w - w = w + 4 - w
Simplifying this gives us:
3w = 4
And there you have it! The value of 3w is 4. Now perhaps w will finally stop being so absent-minded!
To solve the problem, we can set up an equation based on the given information.
Let's start by defining the variable w as the unknown value we're trying to find.
According to the problem, when w is multiplied by 4, the result is the same as when 4 is added to w. This can be written as:
4w = w + 4
Now, we can solve this equation to find the value of w.
First, let's isolate w by subtracting w from both sides of the equation:
4w - w = w + 4 - w
This simplifies to:
3w = 4
Finally, we can solve for w by dividing both sides of the equation by 3:
3w/3 = 4/3
The threes cancel out on the left side, leaving us with:
w = 4/3
So, the value of 3w is:
3w = 3 * (4/3) = 4