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Chapter 2: Problem 14

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 12 is four times the number. Find the number.

Short Answer

Expert verified
The number is 4.

Step by step solution

01

Formulate the equation

According to the problem, a number (let's call this number \(x\)) increased by 12 is four times that same number. That can be translated into the following equation: \(x + 12 = 4x\)
02

Rearrange the equation

To find \(x\), first, isolate the variable \(x\) by subtracting \(x\) from both sides of the equation, which gives: \(12 = 4x - x\) or \(12 = 3x\).
03

Solve for \(x\)

Finally, divide both sides of the equation by 3 to find the number: \(x = 12 / 3 = 4\).

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