Question

(10) The sum of the numerator and the denominator of a rational number is 19. If 3 is added to the numerator,
the rational number becomes 1/3 .
What is the rational number?
​

Answer 1

Answer:

5/13

Step-by-step explanation:

ATQ

Let numerator be x

denominator be y

Then,

x+y=19....(I)

x+3/y=1/3

3(x+3)=y

3x+9=y

3x-y=-9...(ii)

using elimination method

x+y=19

3x-y=-9

4x=10

x=2.5..iii

substitute III in i

2.5+y=19

y=19-2.5=6.5

x/y=2.5/6.5

x/y=5/13