Home
Class 10
MATHS
The sum of the numerator and the denomin...

The sum of the numerator and the denominator of a farction is 9. If 3 is added to each of the numerator and the denominator, it becomes `(1)/(2)`. Find the fraction.

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions (True or False)|5 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos
  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

Form the pair of linear equations for the problems and find their solution by substitution method: A fraction becomes (9)/(11) , if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes (5)/(6) . Find the fraction.

A fraction becomes (19)/(23) if 2 is added to both its numerator and denominator. If 3 is added to both its numerator and denominator it becomes (5)/(6) . Find the fraction.

Answer each question by selecting the proper alternative from those given below each question so as to make the statement true: The sum of the numerator and the denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes (1)/(2) . Then, that fraction is ............ a) 5/7 b) 7/5 c) 3/8 d) 8/3

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 2(16)/(21) , find the fraction.

Rationalise the denominator of (1)/(sqrt2)

If the sum of the fraction and its reciprocal is 2(16)/(21) , find the fraction.

Rationalize the denominator of (1)/(2+sqrt(3))

Rationalise the denominator of (1)/( 2+sqrt3)

Form the pair of linear equations in the following problems and find their solutions (if they exist) by the elimination method: If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes (1)/(2) if we only add 1 to the denominator. What is the fraction?

The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, then the denominator becomes 12 times the numerator. Find the fraction.

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Test Your Skills
  1. The sum of a two digit number and the number obtained by interchanging...

    Text Solution

    |

  2. Two numbers are in the ratio 3:4. If 5 is added to each number, their ...

    Text Solution

    |

  3. The sum of the numerator and the denominator of a farction is 9. If 3...

    Text Solution

    |

  4. The length of a rectangel exceeds twice its breadth by 2 cm. If the pe...

    Text Solution

    |

  5. 10 years ago, the age of a father was four times the age of his son th...

    Text Solution

    |

  6. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  7. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  8. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  9. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  10. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  11. For which value of p does the pair of equations given below has a uniq...

    Text Solution

    |

  12. For what value of k, the pair of linear equations kx+2y=k-2 and 8x+ky=...

    Text Solution

    |

  13. For what values of p and q, will the following pair of linear equation...

    Text Solution

    |

  14. Check whether the following pair of linear equations has a unique solu...

    Text Solution

    |

  15. The denominator of a fraction is 4 more than twice the numerator. When...

    Text Solution

    |

  16. The area of a rectangle gets reduced by 80 square units if its length ...

    Text Solution

    |

  17. Places A and B are 100 km apart from each other on a highway. A car st...

    Text Solution

    |

  18. Solve the following pairs of equations: 4x+(8)/(y)=15, 6x-(8)/(y)=1...

    Text Solution

    |

  19. Solve the following pairs of equations: (1)/(2x)-(1)/(y)=-1, (1)/(...

    Text Solution

    |

  20. Solve the following pairs of equations: (2xy)/(x+y)=(3)/(2), (xy)/...

    Text Solution

    |