Question

the fraction becomes 1/3 when 1 is subtracted from the numerator & it becomes 1/4 when 8 is added to its denominator. The fraction is-

a. 6/13 b. 1/12 c. 5/12 d. 2/13

explain its solution....

Answer 1

$\mathfrak{\huge{Hi !}}$

$\sf{Let \:the\: fraction \:be = \frac{x}{y}}$

When 1 is subtracted from the numerator -

$\tt{\frac{x-1}{y} = \frac{1}{3}}$

=》 3x - 3 = y ...(1)

When 8 is added to the denominator -

$\tt{\frac{x}{y + 8} = \frac{1}{4}}$

=》 4x = y + 8 ...(2)

(1) in (2) :-

=》 4x = 3x - 3 + 8

=》 x = 5

y = 3x - 3 = 12

Fraction = $\tt{\frac{5}{12}}$

$\huge{\bf{Answer- C.\: \frac{5}{12}}}$

Answer 2

(c) is correct answer....