Question

If two is added to the denominator of a rational number it becomes 1/3 and if 4 is added to the numerator it becomes 1/2 then sum of the numerator and denominator of the rational number is

Answer 1

Answer:

let the fraction be x/y

x/(y+2)=1/3  => 3x-y=2

x+4/y=1/2    => y-2x=8

after substituting the equations we get

x=10

putting the value of x we get y=28

so x+y=38

Answer 2

Step-by-step explanation:

Given If two is added to the denominator of a rational number it becomes 1/3 and if 4 is added to the numerator it becomes 1/2 then sum of the numerator and denominator of the rational number is

• Let the rational number be x/y
• According to question
• So x/y + 2 = 1/3
• Also x + 4 / y = 1/2  
• Now we get the equations as
• 3x – y – 2 = 0
• 2x – y – 8 = 0
• Subtracting we get
• So x – 10 = 0
• Or x = 10
• 3x – y – 2 = 0
• 3(10) – y = 2
• 30 – y = 2
• Or y = 28

So x + y = 10 + 28 = 38

Reference link will be

https://brainly.in/question/320772