Question

the sum of the numerator and the denominator of a fraction is 19. if one is added to the numerator and one is subtracted from the denominator, it reduces to 1/2. find the fraction​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator and denominator be x and y respectively x+y =19 ,y=19‐x substitute as fraction x/19‐x when 1 is added to numerator and 1 is subtracted from denominator x+1/19‐x‐1=1/2 ,x+1/18‐x = 1/2 cross multiply 2x+2 =18‐x ,3x=16, x= 16/3 substitute in 19‐x =y , 19‐16/3 = 41/3 fraction = 16/3/41/3 , the fraction is 16/41