91影视

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Equations: - Equations are the statements in which two expressions are equal. The expression can be created by variables, constants, numbers and symbols.

The given problem is:

One-half of a number increased by 16 is four less than two-thirds of a number.

Let the number be x.

The given problem can be written in the form of an equation as

$\frac{1}{2}x+16=\frac{2}{3}x鈭�4$

Add $鈭�\frac{2}{3}x鈭�16$to both sides of the equation.

$\begin{array}{l}\frac{1}{2}x+16鈭�\frac{2}{3}x鈭�16=\frac{2}{3}x鈭�4鈭�\frac{2}{3}x鈭�16\\ \frac{1}{2}x鈭�\frac{2}{3}x+16鈭�16=\frac{2}{3}x鈭�\frac{2}{3}x鈭�4鈭�16\\ \frac{3鈭�4}{6}x=鈭�20\\ 鈭�\frac{1}{6}x=鈭�20\end{array}$

Multiply $-6$to both sides of the equation.

$\begin{array}{l}鈭�6脳\frac{\left(鈭�1\right)}{6}x=鈭�6脳\left(鈭�20\right)\\ x=120\end{array}$

Hence, the number is 120.