The sum of the numerator and the denominator of a given fraction is 12. If 3 is added to its denominator
then the fraction becomes 1/2 . Find the given fraction.
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ANSWER:-
Given:
The sum of the numerator and the denominator of a given fraction is 12. If 3 is added to its denominator then the fraction becomes 1/2.
To find:
find the given fraction.
Solution:
Let the numerator be x &
Let the denominator be y.
According to the question:
x + y= 12............(1)
&
Now,
From equation (1), we get;
=) x + y= 12
=) x= 12 -y.............(3)
Eliminate the value of x in equation (2), we get;
=) 2(12-y) = y +3
=) 24 -2y = y +3
=) -2y -y= 3-24
=) -3y = -21
=) y= -21/-3
=) y= 7
Putting the value of y in equation (3), we get;
=) x= 12 - 7
=) x= 5
Thus,
Fraction is 5/7.
Hope it helps ☺️
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