Home
Class 10
MATHS
Divide 57 into two parts whose product i...

Divide 57 into two parts whose product is 680.

Text Solution

Verified by Experts

The correct Answer is:
17 and 40
`x(57-x)=680impliesx^(2)-57x+680=0impliesx^(2)-40x-17x+680=0.`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Test Yourself|55 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4D|22 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

Divide 57 into two parts whose product is 782.

Divide 15 into two parts such that product of square of one part and cube of other is maximum

Divide 54 into two parts such that one part is 2/7 of the other.

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are

Divide a into two parts such that the product of the pth power of one part and the qth power of the second part may be maximum

Divide 20 into two parts such that the product of the cube of one and the square of the other shall be maximum

20 is divided into two parts so that product of cube of one quantity and square of the other quantity is maximum. The parts are

Divide 108 in two parts in the ratio 4:5

RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
  1. The sum of the squares of two consecutive multiples of 7 is 1225. Find...

    Text Solution

    |

  2. The sum of a natural number and its reciprocal is (65)/(8). Find the n...

    Text Solution

    |

  3. Divide 57 into two parts whose product is 680.

    Text Solution

    |

  4. Divide 27 into two parts such that the sum of their reciprocals is 3/2...

    Text Solution

    |

  5. Divide 16 into two parts such that twice the square of the larger p...

    Text Solution

    |

  6. Find two natural numbers, the sum of whose squares is 25 times their s...

    Text Solution

    |

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

    Text Solution

    |

  8. Three consecutive positive integers are such that the sum of the squar...

    Text Solution

    |

  9. lf two digit number is four times the sum of its digits and twice the ...

    Text Solution

    |

  10. A two digit number is such that the product of the digits is 14. Wh...

    Text Solution

    |

  11. The denominator of a positive fraction is one more than twice the nume...

    Text Solution

    |

  12. The numerator of a fraction is 3 less than its denominator.If 11 is ad...

    Text Solution

    |

  13. The sum of a number and its reciprocal is 2(1)/(30). Find the numbers.

    Text Solution

    |

  14. A teacher on attempting to arrange the students for mass drill in the ...

    Text Solution

    |

  15. 300 apples are distributed equally among a certain number of students....

    Text Solution

    |

  16. In a class test, the sum of Kamal's marks in mathematics and English i...

    Text Solution

    |

  17. Some students planned a picnic. The total budget for food was Rs. 2000...

    Text Solution

    |

  18. If the price of book is reduced by Rs. 5, a person can buy 4 more book...

    Text Solution

    |

  19. A person on tour has Rs. 10800 for his expencses. If he extends his to...

    Text Solution

    |

  20. In a class test, the sum of the marks obtained by P in mathematics and...

    Text Solution

    |