Home
Class 10
MATHS
The sum of two numbers is 9. The sum of ...

The sum of two numbers is 9. The sum of their reciprocals is ½. Find the numbers.

Text Solution

Verified by Experts

Let one number be `x`
and other number be `9−x`
sum of their reciprocal `=1/2`
`1/x+1/(9−x)=1/2`
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

The sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.

The sum of two numbers is 9. The sum of their reciprocals is.Find the numbers.

The sum of two numbers is 18. The sum of their reciprocals is.Find the numbers.

The sum of two numbers is 15 and sum of their reciprocals is 5/18 , find the numbers.

The sum of two numbers is 8 and the sum of their reciprocals is (8)/(15). Find the numbers.

The sum of two numbers is 10. If the sum of their reciprocals is (5)/(8) , the numbers.

The sum of two numbers is 20 and the sum of their reciprocals is (5)/(24) . Find the numbers.

If the sum of two numbers is 10 and the sum of their reciprocals is (5)/(12), find the numbers.

The sum of two naturats number is 8 and sum of their reciprocals is 8/15. Find the numbers.

The sum of two natural numbers is 9 and the sum of their reciprocals is (1)/(2). Find the numbers.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Three consecutive positive integers are such that the sum of the squar...

    Text Solution

    |

  2. The difference of squares of two numbers is 88. If the larger number i...

    Text Solution

    |

  3. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  4. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  5. Solve the following quadratic equations by factorization: 1/((x-1)(x-2...

    Text Solution

    |

  6. Solve the following quadratic equations by factorization: (x-a)/(x-b)+...

    Text Solution

    |

  7. Solve for : x :(x-1)/(x-2)+(x-3)/(x-4)=3 1/3,x!=2,4

    Text Solution

    |

  8. Solve for : a^2b^2x^2+b^2x-a^2x-1=0

    Text Solution

    |

  9. Solve the following quadratic equations by factorization method: 4x^2...

    Text Solution

    |

  10. Solve: x=1/(2-1/(2-1/(2-x))),x!=2

    Text Solution

    |

  11. Solve: x+1/x=25

    Text Solution

    |

  12. Solve the following quadratic equations by factorization method: (i) x...

    Text Solution

    |

  13. Solve for: 1/(2a+b+2x)=1/(2a)+1/b+1/(2x)

    Text Solution

    |

  14. Solve for : 1/(x-3)+2/(x-2)=8/x ; x!=0,2,3

    Text Solution

    |

  15. The diagonal of a rectangular field is 60 metres more than the shor...

    Text Solution

    |

  16. the hypotenuse of a right angle triangle is 1m less than twice the sho...

    Text Solution

    |

  17. The product of Ramu's age (in years) five years ago with his age (in ...

    Text Solution

    |

  18. One year ago, a man was 8 times as old as his son. Now his age is equa...

    Text Solution

    |

  19. A girl is twice as old as her sister. Four years hence, the product of...

    Text Solution

    |

  20. Seven years ago Varun’s age was five times the square of Swati’s age. ...

    Text Solution

    |