The difference of twice a number g and 10 is 24
2g - 10 = 24
g=17
To solve this problem, we need to translate the given sentence into an equation and then solve for the variable.
Let's denote the unknown number as "g".
The sentence "twice a number g" can be translated into the expression "2g," which represents multiplying the number g by 2.
The phrase "the difference of 2g and 10" can be written as "2g - 10."
The phrase "is 24" means that the expression "2g - 10" is equal to 24.
Putting it all together, we have the equation 2g - 10 = 24.
To find the value of g, we need to isolate the variable g.
First, let's add 10 to both sides of the equation: 2g - 10 + 10 = 24 + 10, which simplifies to 2g = 34.
Next, divide both sides of the equation by 2 to solve for g: 2g / 2 = 34 / 2, which simplifies to g = 17.
Therefore, the value of the number g is 17.