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A fraction becomes ½ if 5 is subtracted from its numerator and 3 is subtracted from its denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.

Answer:

"hi i'm shivani your math tutor from neto
now we are having a question to find the
fraction according to the given
conditions first of all let's
denote of a fraction by x by y
so according to the given conditions a
fraction becomes 1 by 2 if 5 is
subtracted from the numerator
which means x minus 5 and 3 is
subtracted from the denominator
which means y minus 3 it gives us
1 by 2 from here we obtain the equation
as 2x minus y
equals to 7 let us name this as equation
number 1
and then if the denominator of this
fraction
is 5 more than its numerator find the
fraction
which means x plus y is equal to
5 so x minus 5
equal to minus 5 is our second equation
now subtracting 2 from 1
what we get we get the value of x to be
12. now if we substitute this value of
x equal to 12 in equation number 1
we get the value of y
is 12 plus 5 equal to y so y
equal to 17.
so the x bar y is the numerator and
denominator
and our fraction becomes 12 by 17
which is the required solution for more
such videos subscribe to lido
and if you have any queries drop in the
comment section thank you"

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