Home
Class 10
MATHS
The sum of a two digit number and the nu...

The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • POLYNOMIAL

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

The sum of a two digit number and the number formed by interchanging the digit is 132. If 12 is added to the number, the new number becomes 5 times the sum of the digits. Find the number.

The sum of a two digit number and the number obtained by reversing the order of its digits is 99. If the digits differ by 3, find the number.

The sum of the two-digit number is 9 The number formed by interchanging the order of the digits is 27 more than the given number.Find the number.

The sum of a two-digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.

The sum of a two digit number and the number obtained on reversing the digits is 165. If the digits differ by 3, find the number.

A two-digit number is such that the sum of its two digits is 11. If 27 is subtracted from this number, the new number is such that the digits of the original number are reversed. Find the original number.

A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

A two-digit number is 4 times the sum of its digits and twice the product of the digits. Find the number.

The sum of a two-digit number and the number formed by reversing the order of digits is 66. If the two digits differ by 2, find the number. How many such numbers are there?

The sum of a two digit number and the number obtained by reversing the order of its digits is 121, and the two digits differ by 3. Find the number.

RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. A two-digit number is such that the product of its digits is 20. If 9 ...

    Text Solution

    |

  2. Seven times a two-digit number is equal to four times the number ob...

    Text Solution

    |

  3. The sum of a two digit number and the number formed by interchanging ...

    Text Solution

    |

  4. The sum of a two digit number and the number formed by interchanging ...

    Text Solution

    |

  5. A two digit number is obtained by either multiplying sum of digits ...

    Text Solution

    |

  6. If three times the larger of the two numbers is divided by the smaller...

    Text Solution

    |

  7. The sum of a two digit number and the number obtained by reversing the...

    Text Solution

    |

  8. In a two digit number, the ten’s digit is three times the unit’s digit...

    Text Solution

    |

  9. 4 tables and 3 chairs, together, cost Rs. 2,250 and 3 tables and 4 ...

    Text Solution

    |

  10. Reena has pens and pencils which together are 40 in number. If she has...

    Text Solution

    |

  11. 7 audio cassettes and 3 video cassettes cost Rs. 1110, while 5 audio ...

    Text Solution

    |

  12. A man has only 20 paise coins and 25 paisa coins in his purse. If h...

    Text Solution

    |

  13. In a two digit number, the unit’s digit is twice the ten’s digit. If 2...

    Text Solution

    |

  14. Sum of two numbers is 35 and their difference is 13. Find the numbers.

    Text Solution

    |

  15. On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper ...

    Text Solution

    |

  16. A and B each have a certain number of mangoes. A says to B, “if you ...

    Text Solution

    |

  17. Show that x=2,\ \ y=1 is a solution of the system of simultaneous l...

    Text Solution

    |

  18. Show that x=2,\ \ y=1 is not a solution of the system of simultaneo...

    Text Solution

    |

  19. Show that x=2,\ \ y=1 and x=4,\ \ y=4 are solutions of the system o...

    Text Solution

    |

  20. The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. La...

    Text Solution

    |