Question

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator find the fraction by algebraic method

Answer 1

•Let x be the numerator .

•and y be the denominator.

•The fraction =x/y .

•ATQ,

•x-1/y=1/3

•3(x-1)=y

•3x-3=y

•3x-y=3....eqn1.


•x/y+8=1/4.

•4x=y+8.

•4x-y=8...eqn2.

•Subtract eqn1 from 2.

3x-y=3
4x-y=8
- + -
-x=-5.
•x=5.

•Substitute value of x in equation 1.

•3(5)-y=3.

•15-y=3.

•-y=-3-15

•-y=-18.

•y=18.

Hence the fraction is 5/18.

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