The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction.


Let the numerator be ‘a’ and denominator be ‘b’.


Given, sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2.


a + b = 12 ------ (1)


Also, a/(b + 3) = 1/2


2a – b = 3 ------- (2)


Adding eq1 and eq2


a + b + 2a – b = 15


3a = 15


a = 5


Thus, b = 7


Fraction is 5/7.


11
1