Question

Rational number is less than its denominator by 3 if the Neil nitin becomes three time and the denominator is increased by 20 the new number become 1/ 8 find the original number

Answer 1

Answer:

1/4 is original number

Step-by-step explanation:

let the rational number be x/y

given,numerator is 3 less than denominator hence numerator is y-3 and rational number becomes (y-3)/y

now,if numerator becomes thrice and denominator is increased by 20 then new number is 1/8

3(y-3)/(y+20)=1/8

3(y-3)×8=(y+20)

24(y-3)=y+20

24y-72=y+20

24y-y=72+20

23y=92

y=4

hence x=y-3=4-3=1

rational number is 1/4