Question

Convert the given statement into an equation in x.

“When a number ‘$x$’ is added to $3$ and the sum is divided by $2$, the result is the number ‘$x$’ itself.”

• A. $x+\frac{3}{2}=3x$
• B. $\frac{3+x}{2}=3x$
• C. $3+\frac{x}{2}=x$
• D. $\frac{3+x}{2}=x$

Answer 1

The correct option is D $\frac{3+x}{2}=x$

The statement says “when a number $x$ is added to $3$ and the sum is divided by $2$”.
This translates to $\frac{3+x}{2}$

It is also said that “the result is the number $x$ itself”.
So the equation becomes $\frac{3+x}{2}=x$