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 digits in the first number. Find the first number.

Text Solution

Verified by Experts

The correct Answer is:
64
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions (Fill in the blanks)|5 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions|10 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise EXERCISE 3.7 (Optional)|12 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

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

The sum of digits of a two digit number is 10. The number obtaiend by interchanging the digits is 36 more than the original number. Find the original number.

The sum of a two digit number and the number obtained by interchanging the digits is 99. If the digit at tens place exceeds the digit at units place by 3, find the number.

A two digit number such tha the product of the digits is 20. If 9 is subtracted from the number, the digits interchange their places. Find the number.

A two digit number is four times the sum and three times the product of its digits. Find the number.

Find sum of first n natural numbers.

The sum of the squares of two positive numbers is 233 and one number is 3 less than twice the other number. Find the numbers.

How many two digit number are divisible by 3 ?

Find the sum of: (i) the first 1000 natural numbers, (ii) the first n natural numbers.

The last two digits of the numbers 3^(400) are 01.

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Practice Thoroughly
  1. In the given figure, ABCD is a rectangle, Find the values of x and y.

    Text Solution

    |

  2. For what value of k, will the graphs of following pair of linear equat...

    Text Solution

    |

  3. If ax + by = a^(2)-b^(2) and bx + ay = 0, find the value of x + y.

    Text Solution

    |

  4. For what values of a and b does the following pair of linear equations...

    Text Solution

    |

  5. Given the linear equation x - 2y - 6 = 0, write another linear equatio...

    Text Solution

    |

  6. Find whether the following pair of linear equations is consistent or i...

    Text Solution

    |

  7. Draw the graphs of the equations x = 3, x = 5 and 2x - y - 4 = 0. Also...

    Text Solution

    |

  8. The cost of 4 pens and 4 pencil boxes is Rs. 100. Three times the cost...

    Text Solution

    |

  9. Determine algebraically the vertices of the triangle formed by lines 3...

    Text Solution

    |

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

    Text Solution

    |

  11. 90 % pure and 97% pure acid solutions are mixed to obtain 21 litres of...

    Text Solution

    |

  12. The incomes of two persons A and B are in the ratio 8:7 and the ratio ...

    Text Solution

    |

  13. Three lines x + 3y = 6, 2x - 3y = 12 and x = 0 are enclosing a beautif...

    Text Solution

    |

  14. A fraction becomes (19)/(23) if 2 is added to both its numerator and ...

    Text Solution

    |

  15. Jamila sold a table and a chair for Rs. 1050, thereby making a profit ...

    Text Solution

    |

  16. A railway half ticket costs half the full fare, but the reservation ch...

    Text Solution

    |

  17. Vijay had some bananas and he divided them into two lots A and B. He s...

    Text Solution

    |

  18. In a competitive examination, one mark is awarded for each correct an...

    Text Solution

    |

  19. If x-1 is a factor of 2x^(3)+ax^(2)+2bx+1 and 2a-b=4. Find the values ...

    Text Solution

    |

  20. Solve for x and y:2^(x)+3^(y)=17 and 2^(x+2)-3^(y+1)=5.

    Text Solution

    |