Question

The ratio of the numerator and the denominator of the rational number is 3:4 . If 4 is added to the numerator and 6 is subtracted from denominator, then the rational number becomes 8:5 . Then original rational number is?

Answer 1

Answer:

12 / 16

Step-by-step explanation:

ratio of numerator and denominator is fraction .

let original fraction be 3x/4x

4 is aded to numerator and 6 subtracted from denominator is 8x / 5x

8x / 5x = 3x + 4 / 4x - 6

this gives 15x + 20 = 32x - 48 . solving this eqn gives x = 4 .

so originalfraction is 12 / 16 .