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A number is doubled and then increased by five. The result is eighty-three. What is the original number? The number is

Ask by Cook Herrera. in the United States
Mar 09,2025

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Answer

The original number is 39.

Solution

1. Let \( x \) be the original number. 2. The problem states that the number is doubled and then increased by five, which gives the equation: \[ 2x + 5 = 83 \] 3. Subtract 5 from both sides of the equation: \[ 2x = 83 - 5 = 78 \] 4. Divide both sides by 2 to solve for \( x \): \[ x = \frac{78}{2} = 39 \] Thus, the original number is \( 39 \).

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Extra Insights

To find the original number, we can set up an equation. Let the original number be \( x \). According to the problem, when the number is doubled and then increased by five, we get 83. This gives us the equation: \( 2x + 5 = 83 \). Now, subtract 5 from both sides: \( 2x = 78 \). Next, divide by 2: \( x = 39 \). So, the original number is 39. Now to add some fun facts! Did you know that numbers have fascinating cultural significance? For instance, in many cultures, the number 7 is considered lucky, while the number 13 is often viewed as unlucky. Isn’t it interesting how numbers can carry different meanings across the world? Additionally, in practical applications, understanding how to set up and solve equations is crucial for budgeting, cooking, and home improvement projects. This skill means you can easily translate real-world scenarios into mathematical problems and find the answers efficiently!

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