Home
Class 10
MATHS
Given two natural numbers, seven times t...

Given two natural numbers, seven times the smaller number exceeds three times the greater number by 1. Five times the smaller number exceeds twice the greater number by 2. Represent this data algebraically and geometrically.

Text Solution

Verified by Experts

The correct Answer is:
`7x-3y=1, 5x-2y=2`. The lines intersect at point (4, 9)
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions (True or False)|5 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

Two numbers differ by 3 and the sum of thrice the smaller number and twice the greater number is 66. Find those numbers.

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

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

Find five rational numbers between 1 and 2.

Find five rational numbers between 1 and 2 .

The number of boys in a class are three times the number of girls. Which one of the following numbers can't represent the total number of children in the class ?

The sum of two numbers is 30 and their difference is 16. Then, the smaller number is …………….. .

The sum of first n even natural numbers is k times the sum of first n odd natural numbers then k= …….

The sum of three numbrs is 6. If we multiply third number by 3 and add second number to itm we get 11 . By adding first and thrid numbers, we get double of the second number. Represent it algebraically and find the number using matrix method

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Test Your Skills
  1. The total cost of 2 pencils and 3 pens is Rs.31. While the total cost ...

    Text Solution

    |

  2. An express way is represented by equation x-y=0 and a highway is repre...

    Text Solution

    |

  3. Given two natural numbers, seven times the smaller number exceeds thre...

    Text Solution

    |

  4. Solve the following pair of linear equations graphically: x-y=1, 2x+...

    Text Solution

    |

  5. Find out whether the following pairs of linear equations are consisten...

    Text Solution

    |

  6. Solve the following pair of linear equations graphically: 3x+4y=24, ...

    Text Solution

    |

  7. Find the value of k for which the pair of linear equations 2x-3y=12 an...

    Text Solution

    |

  8. Determine the condition of which of pair of linear equations x-4y=10 a...

    Text Solution

    |

  9. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  10. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  11. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  12. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  13. Parthiv tells his son Ariv "Five years ago my age was seven times your...

    Text Solution

    |

  14. Ahaam and Arya have certain sums with them. If Arya gives Rs. 50 to Ah...

    Text Solution

    |

  15. The sum of digits of a two digit number is 10. The number obtaiend by ...

    Text Solution

    |

  16. The total cost of 5 pens and 2 books is Rs. 150, while the total cost ...

    Text Solution

    |

  17. There are 50 students in a class. Each boy in the class contributed Rs...

    Text Solution

    |

  18. Solve by the elimination method: 2x+y=10, 3x+2y=17

    Text Solution

    |

  19. Solve by the elimination method: 3x+2y=11, x-4y=13

    Text Solution

    |

  20. Solve by the elimination method: 3x+4y=12, 6x+8y=20

    Text Solution

    |