$\"\"$

Sentence:

The sum of one half a number and $\"\"$ equals one third of a number.

Write an equation:

Let, $\"\"$ is a number.

One half times a number plus $\"\"$ equal one third of a number

$\"\"$ .

The equation is $\"\"$ .

Find the number:

$\"\"$ (Original equation)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Simplify)

Therefore, the equation is $\"\"$ and $\"\"$ .

$\"\"$

The equation is $\"\"$ and $\"\"$ .