Questions: Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of nine and twice a number is 39. Find the number.

Solution Steps

To solve the problem, we need to translate the given conditions into a mathematical equation. The problem states that the sum of nine and twice a number is 39. We can represent the unknown number as \( x \). The equation based on the given condition is \( 9 + 2x = 39 \). We will solve this equation to find the value of \( x \).

We start by translating the problem statement into a mathematical equation. The problem states that the sum of nine and twice a number is 39. We can express this as: \[ 9 + 2x = 39 \]

Next, we isolate \( x \) by first subtracting 9 from both sides of the equation: \[ 2x = 39 - 9 \] This simplifies to: \[ 2x = 30 \] Now, we divide both sides by 2 to solve for \( x \): \[ x = \frac{30}{2} = 15 \]

Final Answer