Question

(i) A fraction becomes 1/3when1 is subtracted from the numerator and it becomes1/4
when 8 is added to itsdenominator. Find the fraction.
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Answer 1

Step-by-step explanation:

Fraction = x/y

when 1 is subtracted from the numerator

(x-1)/y = 1/3

3(x - 1) = y

3x - y = 3 --------(1)

,Now , when 8 is added to its denominator

x/(y+8) = 1/4

4x = y + 8

4x - y = 8 --------(2)

from equation (2) - (1)

x = 5

then y = 3x - 3 = 3(5) - 3 = 15 - 3 = 12

Therefore fraction is 5/12 .