Home
Class 10
MATHS
A two digit number and the number with d...

A two digit number and the number with digits interchanged add up to 143 . In the given number the digit in unit's place is 3 more than the digit in the ten's place . Find the original number.

Text Solution

Verified by Experts

The correct Answer is:
`:.` The Original number is 10y + x= 50 + 8 = 58
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    CHETAN PUBLICATION|Exercise Problems for practice (Based on practice Set 1 . 1) Solve the following simultaneous equations :|7 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    CHETAN PUBLICATION|Exercise Problems for practice (Based on practice Set 1 . 2) Solve the following simultaneous equations using Graphical method:|5 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    CHETAN PUBLICATION|Exercise Practic set -1.5|6 Videos

  • GEOMETRIC CONSTRUCTION

    CHETAN PUBLICATION|Exercise ASSIGNMENT|13 Videos

  • MODEL ACTIVITY SHEET

    CHETAN PUBLICATION|Exercise QUESTION|29 Videos

Similar Questions

Explore conceptually related problems

How many 4-digit numbers are there with no digit repeated?

A two digit numbers is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.

In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added three times the original number. If 198 is added to the number, the digits are reversed. The tests difit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the originall number.

A two digit number is such that the product of its digits is 18, When 63 is subtracted to the number the digits interchange their places. Find the number.

A two digit number is such that the product of its digits is 8. When 18 is added to the number they interchange their places. Determine the number

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

The sum of the digits in the unit's place of all the 4-digit numbers formed by 3,4,5 and 6, without repetition , is

CHETAN PUBLICATION-LINEAR EQUATIONS IN TWO VARIABLES -Problem Set - 1
  1. Solve the following system of equations: (7x-2y)/(x y)=5,\ \ \ (8x+...

    Text Solution

    |

  2. (1)/(2(3x+4y))=(1)/(5(2x-3y))=(1)/(4),

    Text Solution

    |

  3. A two digit number and the number with digits interchanged add up to 1...

    Text Solution

    |

  4. Kantabai bought 1(1)/(2) kg tea and 5 kg sugar from a shop. She paid...

    Text Solution

    |

  5. Places A and B are 30 km apart and they are on a straight road. Humid ...

    Text Solution

    |

  6. To find number of notes that Anushka had complete the following activi...

    Text Solution

    |

  7. Sum of the present ages of Manish and Savita is 31 . Manish's age 3 ye...

    Text Solution

    |

  8. In a factory the ratio of salary of skilled and unskilled workers is ...

    Text Solution

    |

  9. For drawing the graph of 4x+5y=19, if x=1, what is the value of y?

    Text Solution

    |

  10. For simultaneous equations in x and y, if D(x)=25, D(y)=50 and D=5, th...

    Text Solution

    |

  11. Find the value of |{:(" "5," "3),(-7,-4):}|

    Text Solution

    |

  12. To solve x+y=3,3x-2y-4=0 by determinant method find D

    Text Solution

    |

  13. ax+by=c and mx+ny=d. If an ne bm, then these simultaneous equations ha...

    Text Solution

    |

  14. The general form of linear equation in two variables is ........

    Text Solution

    |

  15. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  16. Find the value of x + y, if 12x+13y=29 and 13x+12y=21

    Text Solution

    |

  17. Express the following in following in the mathematical form using x an...

    Text Solution

    |

  18. Find the value of D(x), for solving the simultaneous equations 3x+4y=8...

    Text Solution

    |

  19. ........ Is the solutions of given simultaneous equations x-y=7,x+y=1...

    Text Solution

    |

  20. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |