Home
Class 10
MATHS
The difference of the squares of two num...

The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

Similar Questions

Explore conceptually related problems

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

The difference of the squares of two positive integers is 180. The square of the smaller number is 8 times the larger, find the numbers.

The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, find the numbers.

The difference of squares of two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.

Find the squares of the number127

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

The average of thrice the cube of a number and twice the square of the same number equals eight times the same number . Given that the number is a positive integer, what is the number?

The difference between the squares of two consecutive numbers is 31. Find the numbers.

The sum of two numbers is 80. If the larger number exceeds four times the smaller one by 5. Find the numbers.

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  2. Out of a group of swans 7/2 times the square root of the number are p...

    Text Solution

    |

  3. The difference of the squares of two numbers is 45. The square of the ...

    Text Solution

    |

  4. If the sum of first n even natural numbers is 420, find the value of ...

    Text Solution

    |

  5. If 1 is the root of equation 3x^2+ax-2=0 and the quadratic equation a(...

    Text Solution

    |

  6. The sum of the squares of three consecutive natural numbers is 149. ...

    Text Solution

    |

  7. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  8. A two digit number is such that the product of its digits is 18. When ...

    Text Solution

    |

  9. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  10. A two digit number is four times the sum and three times the product o...

    Text Solution

    |

  11. To fill swimming pool two pipes are to be used. If the pipe of larger ...

    Text Solution

    |

  12. Two water taps together can fill a tank in 9 3/8 hours. The tap of ...

    Text Solution

    |

  13. A shop keeper buys a number of books for Rs.80. If he had bought 4 mor...

    Text Solution

    |

  14. An electric cable costs Rs. 200. If the cable was 3m longer and each m...

    Text Solution

    |

  15. A factory kept increasing its output by the same percentage every year...

    Text Solution

    |

  16. If the price of a book is reduced by Rs. 5, a person can buy 5 more ...

    Text Solution

    |

  17. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  18. The angry Arjun carried some arrows for fighting with Bheeshm. With ...

    Text Solution

    |

  19. Rs. 9000 were divided equally among a certain number of persons. Had ...

    Text Solution

    |

  20. A peacock is sitting on the top of a pillar, which is 9m high. From a ...

    Text Solution

    |