Question

A fraction becomes 1/3 when 1 is subrated from the numentor and it's becomes 1/4 when 8 is added

Answer 1

Answer:

$fraction = \frac{5}{12}$ ✔✔

Step-by-step explanation:

$let \: fraction \: be \: \frac{x}{y} \\ according \: to \: question \: \\ \frac{x - 1}{y} = \frac{1}{3} \\ 3x - 3= y \\ 3x = y + 3 \\ x = \frac{y + 3}{3} - - - - - (1) \\ again \\ \frac{x + 8}{y} = \frac{1}{4} \\ 4x + 32 = y \\ 4 x + y = 32 - - - - - (2) \\ putting \: value \: of \: y \: in \: eqn \:2 \\ 4 \times \frac{y + 3}{3} + y = 32 \\ 4y + 12 + 3y = 96 \\ 7y = 96 - 12 \\ y = \frac{84}{7} \\ y = 12 \\ putting \: value \: of \: y \: in \: (1) \\ x = \frac{12 + 3}{3} \\ x = \frac{15}{3} \\ x = 5 \\ fraction = \frac{5}{12}$

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