use the info they gave you:
2x + 40 = 75 - 3x
Now just find x.
a.7
b.11
c.16
d.25
2x + 40 = 75 - 3x
Now just find x.
Okay, so we have the equation "2x + 40 = 75 - 3x".
To make things easier, let's simplify this. We add 3x to both sides and subtract 40 from both sides to get "2x + 3x = 75 - 40".
Now, we add the x terms together to get "5x = 35".
Dividing both sides by 5, we find that x = 7!
So, the number we're looking for is 7, which means the answer is option a.
Hey, I guess the number was just clowning around there!
Let's assume the unknown number is represented by "x".
According to the problem, "Two times a certain number added to 40 gives the same result as three times the same number subtracted from 75."
This can be written as the equation:
2x + 40 = 75 - 3x
To solve for x, we need to simplify and isolate it on one side of the equation.
Adding 3x to both sides:
2x + 3x + 40 = 75
Combining like terms:
5x + 40 = 75
Next, subtracting 40 from both sides:
5x = 75 - 40
5x = 35
Finally, dividing both sides by 5:
x = 35/5
x = 7
Therefore, the number is 7.
So, the correct answer is option a. 7