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If I multiply a number by 7 this gives the same result as if I had added 24 to the number.

Ask by Gonzalez Ingram. in New Zealand
Mar 14,2025

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The number is 4.

Solución

Let \( x \) be the number. Then we have the equation \[ 7x = x + 24. \] Subtract \( x \) from both sides: \[ 7x - x = 24 \quad \Rightarrow \quad 6x = 24. \] Now, divide both sides by 6: \[ x = \frac{24}{6} = 4. \] So, the number is \( 4 \).

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Beyond the Answer

This intriguing equation can be represented as \(7x = x + 24\), where \(x\) is the number in question. Solving this is quite the adventure! By rearranging the equation, you end up with \(6x = 24\), which simplifies down nicely to \(x = 4\). So, the mystery number you're searching for is 4! Interestingly, this type of equation often pops up in real life—think about budgeting or planning a project! If you have a certain amount of money and you want to multiply it by 7 (like multiplying your investment returns), you can explore how much more you'll have after adding a fixed amount (like costs or expenses). It’s all about finding that balance!

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