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When 8% of a number is added to the number itself the result is 810. What is the number?

Question

When 8% of a number is added to the number itself the result is 810. What is the number?

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Solution

Let's denote the number we're looking for as x.

According to the problem, 8% of this number added to the number itself equals 810. We can write this as an equation:

x + 0.08x = 810

This simplifies to:

1.08x = 810

To solve for x, we divide both sides of the equation by 1.08:

x = 810 / 1.08

So, the number we're looking for is approximately 750.

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