Final answer:
To find the number, set up an equation and solve for 'x'. The number is 3.
Step-by-step explanation:
To find the number, let's set up an equation with the given information. Let's call the number we're trying to find 'x'. According to the problem, when 10 is added to twice that number, it becomes 2x + 10. And when this result is doubled, it becomes 2 * (2x + 10). We know that this final result is equal to 32, so we can set up the equation: 2 * (2x + 10) = 32. To solve for 'x', we can simplify the equation.
First, distribute the 2 to both terms inside the parentheses: 4x + 20 = 32. Then, subtract 20 from both sides: 4x = 12. Finally, divide both sides by 4 to isolate 'x': x = 3. Therefore, the number we're looking for is 3.