Question

The numerator and denominator of a rational number are in the ratio 3:4.if the denominator is increased by3, the ratio becomes 3:5.find the rational number

Answer 1

Let the numerator be 3x

Let denominator be 4x

According to the question,

3x/ 4x+3 = 3/5

15x = 3(4x+ 3)

15x = 12x + 9

15x-12x = 9

3x = 9

  x = 9/3

 x = 3

numerator = 3x= 3 x 3 = 9

denominator = 4x = 4 x 3 =12

the rational number = 9/ 12

Answer 2

Let the numerator be 3x

Let the denominator be 4x

According to the question,

3x/4x+3 = 3/5

15x = 3(4x+3)

15x = 12x +9

15x-12x = 9

3x = 9

x = 9/3

x = 3

numerator = 3x = 3×3 = 9

denominator = 4x = 4×3=12

The rational number is 9/12