Question

The sum, of numerator and the denominator
of
rational number is l9. If 3 is added
to the numerator the rational no. becomes 1/3 what is the rational no?

Answer 1

Answer:

rational number is 5 / 33

Step-by-step explanation:

let the numerator be x and denominator be y

such that x + y = 19

               x+3/y = 1/3

3( x+3) = y

3x + 9 = y

by substitution method,

x + 3x + 9 = 19

4x = 19 - 9 = 10

x = 10 /4

x = 5 / 2 = 2.5

y = 3( 5/2 ) + 18/2

  = 15 + 18 / 2

  = 33 / 2

  = 16.5

rational number = 2.5 / 16.5 = 5 / 33