Question

When 75% of a number is added to 75. the result is the number again. Find the number.​

Answer 1

Let the number be x.

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Form the equation:

75% of x is added to 75, the result is x

⇒ 0.75x + 75 = x

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Solve x:

0.75x + 75 = x

Take away 0.75x from both sides:

75 = 0.25x

Switch sides:

0.25x = 75

Divide both sides by 0.25:

x = 75 ÷ 0.25

x = 300

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Answer: The number is 300.