Home
Class 10
MATHS
A two digit number is such that the prod...

A two digit number is such that the product of the digits is 12. When 36 is added to the number the digits interchange their places. Formulate the quadratic equation whose root(s) is (are) digit(s) of the number.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

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

A two digit number is such that the product, of the gitis is 24. When 18 is added to the number, the digits intercharge their places. Formulate the quadratic equation whose roots are the digits of the number.

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

A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places, find the number :

A two digit number is such that the product of its digits is 14. When 45 is added to the number, then the digits interchange their places. Find the number.

A two-digit number is such that the product of its digits is 20. If 9 is added to the number the digits interchange their places.Find the number.

A two-digit number is such that the product of its digits is 35. If 18 is added to the number, the digits interchange their places. Find the number.

A two - digit number is such that product of its digits is 14. If 45 is added to the number, the digits interchange their places. Find the number.

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

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. An express train takes 1 hour less than a passenger train to travel 13...

    Text Solution

    |

  2. If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the...

    Text Solution

    |

  3. A two digit number is such that the product of the digits is 12. When ...

    Text Solution

    |

  4. If x=2 andx=3 are roots of the equation 3x^2-2k x+2m=0, find the va...

    Text Solution

    |

  5. Solve the following quadratic equations by factorization method: x/(x...

    Text Solution

    |

  6. निम्नलिखित समीकरणों को गुणनखंड विधि द्वारा हल करें- (2x)/(x-3)+1/(2x...

    Text Solution

    |

  7. A passenger train takes 3 hours less for a journey of 360 km, if its ...

    Text Solution

    |

  8. A fast train takes one hour less than a slow tran for a journey of 200...

    Text Solution

    |

  9. Swati can row her boat at a speed of 5km/hr in still water. if it take...

    Text Solution

    |

  10. A motor boat whose speed is 24 km/hr in still water takes 1 hr more to...

    Text Solution

    |

  11. The sum of the squares of two consecutive multiples of 7 is 637. Find ...

    Text Solution

    |

  12. The numerator of a fraction is 3 less than the denominator. If 2 is ...

    Text Solution

    |

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

    Text Solution

    |

  14. The difference of squares of two numbers is 88. If the larger number i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Solve the following quadratic equations by factorization: 1/((x-1)(x-2...

    Text Solution

    |

  18. Solve the following quadratic equations by factorization: (x-a)/(x-b)+...

    Text Solution

    |

  19. Solve for : x :(x-1)/(x-2)+(x-3)/(x-4)=3 1/3,x!=2,4

    Text Solution

    |

  20. Solve for : a^2b^2x^2+b^2x-a^2x-1=0

    Text Solution

    |