Question

the denominator of a fraction is 4 more than the numerator if 1 is added to the numerator on 2 added to the denominator the value of the fraction becomes 4 by 5 find the original fraction ​

Answer 1

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Let numerator = x

Denominator = x + 4

fraction = \frac{x}{x + 4}

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When 1 is subtracted from both, fraction becomes 1/2

So,

\frac{x - 1}{x + 4 - 1} = \frac{1}{2} \\ \\ \frac{x - 1}{ x+ 3} = \frac{1}{2} \\ \\ \\ 2(x -1) = x + 3 \\ \\ 2x - 2 = x + 3 \\ \\ 2x - x = 3 + 2 \\ \\ x = 5 \\ \\ \\ \\ fraction \: = \frac{x}{x + 4} = \frac{5}{5 + 4} = \frac{5}{9}

Original fraction =5/9

I hope this will help you

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Answer 2

Answer:

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