Home
Class 10
MATHS
If a two digits' number is divided by th...

If a two digits' number is divided by the sum of digits, the quotient is 6 and the residue is 3. Again, if two digits are interchanged, then the new number thus obtained, is divided by the sum of the digits, the quotient is 4 and the residue is 9. Find the number.

Text Solution

Verified by Experts

The correct Answer is:
75,
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|28 Videos
  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos
  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos
  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

If the digits of a two digits' number are interchanged, then the number thus obtained is (5)/(6) part of the original number and the difference of the digits is 1. Find the number.

The sum of the two digits of a two digits' number is 9. if the digits are interchanged, then the number thus obtained is 27 more than the original number. Find the number.

A two digits number is 3 times of the sum of its digits. If the digits are interchanged, then the number thus obtained is 9 less than 3 times of the original number. Find the number.

If 6^83+8^83 is divided by 49, then the sum of the digits of remainder is

The two digited fermat number is

How many two digit numbers are divisible by 3 ?

Matangini got 6 as the quotient and 6 as the remiander when she had divided a number of two digits by the sum of the digits . Had she been divided the number otained by interchaging the positions of the digits by the sum of the digits ,then she would got 4 as the quotient and 9 as the remiander . Determine the number .

The sum of two digits of a number consisting of two digits is 7 . If 27 is added to the number, the number of its digits are interchanged . Find the number.

If a two digit positive number is multiplied by its unit digit, then the product is 189 and if the tens digit is twice of the unit digit, then find the unit digit.

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.3
  1. The sum of the ages of a father and his son is at present 50 years. Wh...

    Text Solution

    |

  2. The sum of two numbers is equal to 80. Three times of the difference o...

    Text Solution

    |

  3. The sum of the two digits of a two digits' number is 9. if the digits ...

    Text Solution

    |

  4. If 1 is subtracted from the numerator and 2 is added to the denomenato...

    Text Solution

    |

  5. If 2 is subtracted from the numerator and 3 is added to the demoenator...

    Text Solution

    |

  6. A two digits number is 3 times of the sum of its digits. If the digits...

    Text Solution

    |

  7. If the digits of a two digits' number are interchanged, then the numbe...

    Text Solution

    |

  8. The tens' digit of a two digits number is twice of its unit digit. If ...

    Text Solution

    |

  9. If a two digits' number is divided by the sum of digits, the quotient ...

    Text Solution

    |

  10. Rahul said to Rohan. ''I am twice as old as you were when I was as old...

    Text Solution

    |

  11. Fill the blank: Roots of the equation x^2=6x are

    Text Solution

    |

  12. A man rowing at the rate 4 km an hour takes thrice as much time to go ...

    Text Solution

    |

  13. A boat goes up-stream 30 kilometres and down-stream 44 kilometres in 1...

    Text Solution

    |

  14. A boy was aksed to add 3 to a certain number and to divide the sum by ...

    Text Solution

    |

  15. Milk and water are mixed in two pots at the ratios 2:3 and 5:4. In wha...

    Text Solution

    |

  16. A box contains one rupee, fifty paise and twenty five paise coins. The...

    Text Solution

    |

  17. The three sides of a triangle are (x+5), (4x-y) and (y+2) centimetres ...

    Text Solution

    |

  18. If the length of a rectangle is decreased by 5 metres and the breadth ...

    Text Solution

    |

  19. The monthly income of two brothers is RS 1550. One of them gives half ...

    Text Solution

    |

  20. The total monthly salary of two persons is RS 7500. They spend 90% and...

    Text Solution

    |