Question

The numerator ofa rational number is 3 less than its denominator. If numerator becomes three times and 19 is added to the denominator, then new number becomes 1/4. Find the original number.​

Answer 1

Answer:

If you liked my Answer, Mark me as Brainliest :)

The number is 2/5

Step-by-step explanation:

Let the denominator be X

So, the numerator is (x-3)

Now, 3(x-3)/(x+19) = 1/4

=> (3x-9)/(x+19) = 1/4

=> 3x-9 = (x+19)/4

=> 4(3x-9) = x+19

=> 12x-36 = x+19

=> 12x-x = 19+36

=> 11x = 55

=> x = 55/11

=> x = 5

So, the number is 2/5