Question

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 added to denominator

Answer 1

Heya !!!






Let numerator of fraction be X and denomination of fraction be Y.





Fraction = X/Y



According to Question,




X - 1 / Y = 1/3




3 ( X -1) = Y



3X - 3 = Y




3X - Y= 3 ------------(1)





And,




X / Y + 8 = 1/4



4X = Y + 8




4X - Y = 8 -------(2)




From equation (1) we get,



3X - Y = 3




3X = ( 3 + Y )



X = ( 3 + Y /3) --------(3)



Putting the value of X in equation (2)




4X - Y = 8





4 × ( 3 + Y /3) - Y = 8




12 + 4Y /3 - Y = 8




12 + 4Y - 3Y = 8 × 3





Y = 24 - 12




Y = 12



Putting the value of Y in equation (3)




X = ( 3 + Y /3) = ( 3 + 12/3)




X = ( 15/3) = 5





Fraction = X/ Y = 5/12


★ HOPE IT WILL HELP YOU ★

Answer 2

Let our Fraction is X/Y
so,
★our 1st equation will be (x-1)/y=1/3
★then our 2nd Equation according to the question will be X/y+8=1/4
Now we Have Both the equations

now you can solve it by any method such as Substitution,Elimination or Cross Multiplication...