Question

Q4. find the number, whose fifth part increased by 30 is equal to its fourth part decreased by 30.

Answer 1

Let the number be x,


According to the question :


$(x \times \frac{1}{5}) + 30 = (x \times \frac{1}{4} ) - 30 \\ \\ \frac{x}{5} + 30 + 30 = \frac{x}{4} \\ \\ \frac{x + 150 + 150}{5} = \frac{x}{4} \\ \\ 4(x + 300) = 5(x) \\ \\ 4x + 1200 = 5x \\ \\ 1200 = 5x - 4x \\ \\ 1200 = x$


Required number is 1200



I hope this will help you


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Answer 2

Let the no. be x
So
x / 5 +30 = x / 4 -30
30 + 30 = x / 4 - x / 5
60 = x / 20
x = 60 * 20 = 1200