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when 75% of a number is added to 75, the result is the same number .Find the number?

Question

when 75% of a number is added to 75, the result is the same number .Find the number?

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Solution

Sure, let's solve this step by step:

  1. Let's assume the number we are looking for is X.

  2. According to the problem, 75% of this number (which is 0.75*X) added to 75 equals the number itself (X).

  3. So, we can set up the equation as follows: 0.75*X + 75 = X.

  4. To solve for X, we can start by subtracting 0.75X from both sides of the equation to get: 75 = X - 0.75X.

  5. This simplifies to: 75 = 0.25*X.

  6. Finally, to find X, we divide both sides of the equation by 0.25: X = 75 / 0.25.

  7. So, X = 300.

Therefore, the number we are looking for is 300.

This problem has been solved

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