Question

the denominator of r.n. is greater than its numerator by 3 . if 3 is subtracted from the numerator and 2 is added to the denominator the new no. becomes 1/5 find the original no.
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Answer 1

Answer:

x−3

=

5

1

\begin{lgathered}\frac{x - 3}{x + 5} = \frac{1}{5} \\ \\ 5(x - 3) = 1(x + 5) \\ \\ 5x - 15 = x + 5 \\ \\ 5x - x = 5 + 15 \\ \\ 4x = 20 \\ \\ x = \frac{20}{4} \\ \\ x = 5\end{lgathered}

x+5

x−3

=

5

1

5(x−3)=1(x+5)

5x−15=x+5

5x−x=5+15

4x=20

x=

4

20

x=5