Question

The numerator and denominator of a rational number are in the ratio 3 : 4. If the
denominator is increased by 3, the ratio becomes 3:5. Find the rational number. ​

Answer 1

Step-by-step explanation:

let the ratio be 3x and 4x

3x/4x+3=3/5

15x=12x+9

15x-12x=9

3x=9

x=3

rational no. = 3×3/4×3

9/12

Answer 2

Answer:

x=9  y=12

Step-by-step explanation:

1) let the numerator be x and denominator be y

acc. to question, x/y=3/4

after cross multiplying

4x=3y

4x-3y=0            -(i)

when denominator is increased by 3

x/y+3=3/5

after cross multiplying

5x=3y+9

5x-3y=9            -(ii)

by equating coefficient method

5x-3y=9

4x-3y=0

-     +    -

3y and 3y get cancelled

so x=9

substitute x=9 in eq(i)

9/y=3/4

after cross multiplying

36=3y

so, y=12