Question

denominator of a rational number is 3 more than its numerator if the numerator is increased by 7 and the denominator is decreased by 2 we obtain 2 the rotational number is

Answer 1

let the numerator be x
so the denominator be x+3
so the rational number will be x/x+3
=x+7/x+3-2
=x+7/x+1
if the answer is 2
x+7/x+1 =2
x+7=2x+2
7-2=2x-x
5=x
x=5
x+3=8
so the rational number will be 5/8

Answer 2

Heya !!!


Let Numerator of rational number be X.



Then denominator of rational number (X +3)



Ration Number = Numerator/Denominator = X/X+3




Numerator is increased by 7 then new numerator is ( X +7) and denominator is decreased by 2 then new denominator is ( X +3-2) = ( X +1)




Now,




New rational Number = ( X +7) / ( X +1)



According to question,




( X +7) / ( X +1) = 2



( X +7) = 2(X +1)





X + 7 = 2X + 2



2X - X = 7 -2



X = 5




Numerator = X = 5




And,


Denominator = ( X +3) = 8





Therefore,




Rational Number = 5/8




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