Question

question
when a number is increased by 5%, the result is 25. what is the original number to the nearest tenth?
answer attempt 1 out of 2
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Explanation:

Step1: Define original number as $x$

Let the original number be $x$.

Step2: Set up percentage increase equation

A 5% increase means the new value is $x + 0.05x = 1.05x$, which equals 25:
$$1.05x = 25$$

Step3: Solve for $x$

Rearrange to isolate $x$:
$$x = \frac{25}{1.05}$$

Step4: Calculate and round to nearest tenth

$$x \approx 23.8095$$
Round to the nearest tenth: $x \approx 23.8$

Answer:

23.8