Question

The fifth part of a number when increased by 5 equals it's fourth part decreased by 5. Find the number.

Answer 1

Hi friend
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Your answer
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Let the number be x.

Then,
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According to the question,
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$\frac{x}{5} + 5 = \frac{x}{4} - 5 \\ \\ = > \frac{x}{5} - \frac{x}{4} = - 5 - 5 \\ \\ = > \frac{4x - 5x}{20} = - 10 \\ \\ = > \frac{ - x}{20} = - 10 \\ \\ = > \frac{x}{20} = 10 \\ \\ = > x = 10 \times 20 \\ \\ = > x = 200$
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