(10) The sum of the numerator and the denominator of a rational number

1.	(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» 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

(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»

Answer:

5/13

Step-by-step explanation:

ATQ

denominator be y

Then,

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

x+3/y=1/3

3(x+3)=y

3x+9=y

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

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