Questions: Thirty less a number is equal to the product of 3 and the sum of the number and 6 . Find the number.

Solution Steps

To solve for the number, let's denote the unknown number as \( x \). The problem states that thirty less a number is equal to the product of 3 and the sum of the number and 6. This can be translated into the equation: \[ 30 - x = 3(x + 6) \] We will solve this equation for \( x \).

The problem states that thirty less a number is equal to the product of 3 and the sum of the number and 6. Let the unknown number be \( x \). This can be written as: \[ 30 - x = 3(x + 6) \]

First, expand the right-hand side of the equation: \[ 30 - x = 3x + 18 \]

Move all terms involving \( x \) to one side and constants to the other side: \[ 30 - 18 = 3x + x \] \[ 12 = 4x \]

Divide both sides by 4 to isolate \( x \): \[ x = \frac{12}{4} \] \[ x = 3 \]

Final Answer