To solve the problem, let’s start by defining the unknown number as x.
According to the given condition, we can write the equation as follows:
2x + (1/2)x = 10
Now, we will combine the terms on the left side of the equation. First, notice that (1/2)x is equivalent to 0.5x. Thus, our equation transforms into:
2x + 0.5x = 10
Next, let’s add 2x and 0.5x:
- 2x + 0.5x = 2.5x
So, we can rewrite the equation as:
2.5x = 10
To find x, we divide both sides of the equation by 2.5:
x = 10 / 2.5
Calculating this gives us:
x = 4
Thus, the number we are looking for is 4. To confirm our solution, we can substitute x = 4 back into the original problem:
Calculating:
2(4) + (1/2)(4) = 8 + 2 = 10. This is indeed correct!
In conclusion, the number that satisfies the condition is 4.