Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 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.

Q.7 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.

Answers (1)

best_answer

Let the numerator of the rational number be x.

Then denominator will be x + 8.

Further, according to question,

                     \frac{x + 17}{x+ 8 - 1} = \frac{3}{2}

or                     \frac{x + 17}{x+ 7} = \frac{3}{2}

Cross-multiplication gives:   

                      2(x + 17)  =  3(x + 7)

or                   2x + 34  =  3x + 21

or                        x  = 13

Hence the rational number is   \frac{13}{21}.

Posted by

Divya Prakash Singh

View full answer

Similar Questions

Trending Articles/News

anam-khan

NVS Class 9, 11 Admission 2025: LEST registration last date extended again; apply by November 26
anam-khan

NVS Admission 2025: Registration deadline today for Class 9, 11 lateral entry selection test
anam-khan

NVS Admission 2025: Class 9, 11 lateral entry registration deadline extended till November 19

Latest Question