Question

the denominator of a rational number is greater than its numerator by 8. if the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. FIND THE RATIONAL NUMBER?

Answer 1

Hi there
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Answer 2

Hey.

Here is the answer.

let the numerator be x

so denominator = 8+x

according to question, if (x+17)/(8+x -1) = 3/2

or, (x+17)/ (x+7) =3/2

or, 2x + 34 = 3x + 21

or, x = 13

AND x +8 = 13+8=21

so, the rational no. is 13/21.

Thanks.