Home
Class 10
MATHS
Split 207 into three parts such that the...

Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.

Text Solution

AI Generated Solution

To solve the problem of splitting 207 into three parts such that they are in Arithmetic Progression (AP) and the product of the two smaller parts is 4623, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Parts in AP**: Let's denote the three parts as: - First part: \( A - D \) - Second part: \( A \) ...
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLE

    NCERT EXEMPLAR|Exercise Long Answer Type Questions|3 Videos
  • CIRCLES

    NCERT EXEMPLAR|Exercise Circles|44 Videos

Similar Questions

Explore conceptually related problems

Split 207 into three parts such that these are in A.P.and the product of the two smaller parts is 4623.

Divide 69 into three parts which are in A.P. and the product of the two smaller parts is 483.

Divide 912 into three parts

Divide 124 into four parts in such a way that they are in AP and the product of the first and the 4 th part is 128 less than the product of the 2nd and the 3 rd parts.

Divide 63 in three parts in such a way that they form a GP and the product of the first two parts is equal to (3)/(4) times third part.

Divide 63 into three parts that are in GP and the product of the first and the second part is 3/4 times of the third part.

Divide 15 into three parts which aere in A.P. and the sum of their squares is 83.

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164

NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

    Text Solution

    |

  2. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

    Text Solution

    |

  3. Split 207 into three parts such that these are in AP and the product o...

    Text Solution

    |

  4. The angles of a triangle are in A.P. The greatest angle is twice the l...

    Text Solution

    |

  5. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

    Text Solution

    |

  6. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7...

    Text Solution

    |

  7. Find the 12th term from the end of the AP-2, -4, -6, …, -100.

    Text Solution

    |

  8. Which term of the AP 53, 48, 43, … is the first negative term ?

    Text Solution

    |

  9. How many numbers lie between 10 and 300, which divided by 4 leave a re...

    Text Solution

    |

  10. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

    Text Solution

    |

  11. The first term of an AP is -5 and the last term is 45. If the sum of t...

    Text Solution

    |

  12. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

    Text Solution

    |

  13. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

    Text Solution

    |

  14. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

    Text Solution

    |

  15. In an AP, If S(n)=n(4n+1), then find the AP.

    Text Solution

    |

  16. In an AP, If S(n)=3n^(2)+5n and a(k)=164, then find the value of k.

    Text Solution

    |

  17. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

    Text Solution

    |

  18. Find the sum of first 17 terms of an AP whose 4th and 9th terms are -1...

    Text Solution

    |

  19. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

    Text Solution

    |

  20. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |