Home
Class 9
MATHS
A number is 27 more than the number obta...

A number is 27 more than the number obtained by reversing its digits. If its unit's and tens digit are x and y respectively, write the linear equation representing the above statement.

Text Solution

Verified by Experts

"Solution
Let the number's unit's digit is `'x'` and ten's digit is `'y'`
Then thenumber= `'x+10y'`
If we reverse the number's digit then the number =`'y+10x'`
Given that the number is `'27'` more than the reversed number
So, `'(x+10y)−(y+10x)=27'`
Or '`x+10y−y−10x=27`'
Or '`9y−9x−27=0`'
Or `y−x−3=0`.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO EUCLID'S GEOMETRY

    RD SHARMA|Exercise All Questions|24 Videos
  • LINES AND ANGLES

    RD SHARMA|Exercise All Questions|186 Videos

Similar Questions

Explore conceptually related problems

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten's digit of the number are x and y respectively,then write the linear equation representing the above statement.

The difference of 5671 and the number obtained on reversing its digits is

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 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.

A two-digit number is 9 more than four times of the number obtained by interchanging its digits. If the product of digits in the two-digit number is 8, then what is the number?

Find the difference between the number 279 and that obtained on reversing its digits.

Find the difference between the number 738 and that obtained on reversing its digits.

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

RD SHARMA-LINEAR EQUATIONS IN TWO VARIABLES -All Questions
  1. A three-wheeler scooter charges 15 for first kilometer and 8 each for ...

    Text Solution

    |

  2. A lending library has a fixed charge for the first three days and an a...

    Text Solution

    |

  3. A number is 27 more than the number obtained by reversing its digits. ...

    Text Solution

    |

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

    Text Solution

    |

  5. Plot the points (3,5) and (-1, 3) on a graph paper and verify that the...

    Text Solution

    |

  6. From the choices given below choose the equation whose graph is given...

    Text Solution

    |

  7. From the choices given below choose the equation whose graph is given...

    Text Solution

    |

  8. If the point (2,\ -2) lies on the graph of the linear equation 5x+k ...

    Text Solution

    |

  9. Draw the graph of the equation 2x+3y=12 . From the graph, find the...

    Text Solution

    |

  10. Draw the graph of each of the equations given below. Also, find the...

    Text Solution

    |

  11. Draw the graph of each of the equations given below. Also, find the...

    Text Solution

    |

  12. Draw the graph of the equation 2x+y=6 . Shade the region bounded b...

    Text Solution

    |

  13. Draw the graph of the equation x/3+y/4=1. Also, find the area of the t...

    Text Solution

    |

  14. Draw the graph of y=|x|

    Text Solution

    |

  15. Draw the graph of y=|x|+2

    Text Solution

    |

  16. Draw the graphs of the following linear equations on the same graph...

    Text Solution

    |

  17. Solve graphically the system of linear equations: 4x-3y+4=0,\ \ \ 4...

    Text Solution

    |

  18. The path of a train A is given by the equation 3x+4y-12=0 and the p...

    Text Solution

    |

  19. Ravish tell his daughter aarushi ,seven years ago,i was as old as seve...

    Text Solution

    |

  20. Aarushi was driving a car with uniform speed of 60 km/h. Draw distan...

    Text Solution

    |