Answer:
The number is 4.
The step describe to solve the problem is: add five and then multiply by \(\frac{1}{2}\)
Step-by-step explanation:
Let the number be x.
As per the given condition as:
The difference of twice a number and five is three.
"Twice a number" means \(2x\)
"difference of twice a number and five" means \(2x -5\)
therefore, the translation of the given word problem to an equation is:
\(2x-5 =3\)
Now, solve the equation : \(2x-5 =3\)
Addition Property of equality states that you add the same number to both sides of an equation.
Add 5 to both sides of an equation we get;
2x-5+5=3+5
Simplify:
2x = 8
Multiplication property of equality states that you multiply the same number to both sides of an equation.
Multiply by \(\frac{1}{2}\) both sides we get;
\(2x \times \frac{1}{2} = 8 \times \frac{1}{2}\)
Simplify:
x = 4
The steps which describe to solve the problem is: add five and then multiply by \(\frac{1}{2}\)
Therefore, the number x = 4
