Question

in a given fraction, if the numerator is multipied by 2 and the denominator is reduced by 5, we get 6/5 but if the numerator of the fraction is increased by 8 and the denominator is doubled, we get 2/5. find the fraction​

Answer 1

Answer:21/27

Step-by-step explanation:

Answer 2

Answer:

$\frac{12}{25}$

Step-by-step explanation:

$Let \: numerator=n\; and\; denominator = d\\A/Q:\\\frac{2n}{d-5}=\frac{6}{5}---(i)\ \ \frac{n+8}{2d}=\frac{2}{5}--(ii)\\6d-10n=30 ------(i)\ \ 4d-5n=40---(ii)\\\\Multipflying\:(ii)by\:2\:and\:subtracting\;(i)from\:it\:we\:get:\\\\2d=50 \\d=25\\Substituting\; d=25\;in\;(i)\;we\:get:\\n=12\\Therefore\; fraction\;is:\\ = \frac{12}{25}$