Question

Numerator and denominator of a fraction are in the ratio of 3 : 5. If 4 is subtracted from the numerator, it reduces to 1/5 Find the fraction.​

Answer 1

Answer:

Numerator = 6  and Denominator = 10

Step-by-step explanation:

if Numerator = x and Denominator = y

$\frac{x}{y} = \frac{3}{5} \\\\5x=3y\\\\\frac{3y}{5} = x$  ⇒ 1

we have second equation that

$\frac{x-4}{y} = \frac{1}{5} \\\\x-4 = \frac{y}{5} \\\\x = \frac{y}{5} + 4$             ⇒ 2

from equation 1 and 2 we get

$\frac{3y}{5} = \frac{y}{5} + 4 \\\\\frac{3y}{5} = \frac{y+20}{5} \\\\5*\frac{3y}{5} = y+20\\\\3y = y + 20 \\\\3y-y = 20\\\\2y=20\\\\y= \frac{20}2} \\\\y = 10$

from equation 1

$\frac{3y}{5} = x$

putting  the value of y

$\frac{3*10}{5} = x \\\\\frac{30}{5} = x\\\\6 = x$

Numerator = 6   and Denominator = 10