Question

in a fraction,two times of the numerator is four more than the denominator.if five is added to the numerator and to the denominator,the new fraction is 4/3.find the original number.​

Answer 1

Answer:

numerator=11

denominator=2

Explanation:

let the numerator=x

therefore denomimator=2x-4

According to the question

(x+5)/(2x-4+5)=4/3

(x+5)/(2x+1)=4/3

x+5=4/3*(2x+1)

x+5=8x/3 +4/3

x+5=(8x+4)/3

3(x+5)=8x+4

3x+15=8x+4

15-4=8x-3x

11=5x

11/5=x

therefor fraction=(11/5)/2(11/5)-4

=(11/5)/22/5-4

=(11/5)/(22-20)/5

=(11/5)/2/5

=11/5*5/2

=11/2