Question

the fifth part of a number when increase by 5 equal its fourth part decreased by 5 . Find the number​

Answer 1

Step-by-step explanation:

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$let \: be \: x \\ \frac{1}{5} \times x + 5 = \frac{1}{4} \times x + 5 \\ \frac{x}{5} + 5 = \frac{x}{4} + 5 \\ \frac{x + (5 \times 5)}{5} = \frac{x + (4 \times 5)}{4} \\ \frac{x + 25}{5} = \frac{x + 20}{4} \\ by \: cross \: multiplication \\ 5(x + 20) = 4(x + 25) \\ 5x + 100 = 4x + 100 \\ 5x - 4x = 100 - 100 \\ x = 0$