Question

the denominator of a rational number is greater than numerator by 10 if numerator is increased by 1 and the denominator is decreased by 1 the ratio becomes 5 ratio 9 find the rational number​

Answer 1

Let the numerator be x and denominator be y

x/y=3/4

4x=3y

4x - 3y=0 .....(1)

x/y + 3= 3/5

5x=3(y+3)

5x=3y+9

5x-3y=9 .....(2)

Applying elimination in (1) and (2)

4x-3y=0

5x-3y=9

- + -

_______

-x=-9

x=9

Putting x=9 in (1)

4(9)-3y=0

-3y= -36

y=12

Rational number is 9/12