Question

the numerator and denominator of a rational number are in the ratio 3 :4 if the denominator is increased 3 the ration become 3:5 find the rational number

Answer 1

Hey....!!,

Let the denominator and numerator be 4x and 3x.
ATQ,
3x / ( 4x + 3) = 3/5
=> 5 * 3x = 3 ( 4x + 3)
=> 15x = 12x + 9
=> 15x - 12x = 9
=> 3x =9
=> x = 9/3 = 3
Therefore, The rational no. = (3 * 3) / (4 * 3)
= 9/12

Hope it helps....!!!