Home
Class 12
MATHS
The sum of three numbers in G.P. is 70. ...

The sum of three numbers in G.P. is 70. If each of the two extremes be multiplied by 4 and the mean by 5, the products are in A.P. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
10, 20, 40 or 40, 20, 10
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Long Answer Type Questions)|35 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Multiple Choice Type Questions)|2 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The sum of three numbers in G.P is 70.If the two extremes be mulitiplied each by 4 & the mean by 5,the products are in A.P.Find the numbers.

Three numbers are in G.P. whose sum is 70. If the extremes be each multiplied by 4 and the means by 5, they will be in A.P. Find the numbers.

The sum of three numbers in A.P. is 18. If 2, 2, 6 are added respectively to 1st, 2nd and 3rd numbers, the resulting numbers are in G.P. Find the numbers.

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

The sum of three numbers in A.P. is 18, if 2, 4 and 11 be added to them respectively, the resulting numbers are in G.P. Determine the numbers.

The sum of three numbers in A.P. is 12 and the sum of their squares is 56, find the numbers.

The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

The sum of three numbers in A.P. is 3 and their product is – 35. Find the numbers.

The sum of three numbers in G.P. is (13)/(3) and the sum of their squares is (91)/(9) , find the numbers.

The sum of three numbers in A.P. is 15. If 1, 4 and 19 are added to the numbers the resulting numbers are in G.P. Find the numbers.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. Shri A. K. Roy borrows Rs. 6000 to repay the amount with interest of R...

    Text Solution

    |

  2. A man borrows Rs. 19682 without interest and agrees to repay the money...

    Text Solution

    |

  3. The A.M. of two numbers is 15 and their G.M. is 12. Find the numbers.

    Text Solution

    |

  4. If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c resp...

    Text Solution

    |

  5. If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c resp...

    Text Solution

    |

  6. If a, b, c be in A.P. and x, y, z be in G.P., prove that, x^(b-c).y^...

    Text Solution

    |

  7. The sum of three numbers in G.P. is 70. If each of the two extremes be...

    Text Solution

    |

  8. Let t(r) be the rth term of an A.P. If t(2), t(8) and t(32) are in G.P...

    Text Solution

    |

  9. If p, q, r be in arithmetic progression, then show that the pth, qth a...

    Text Solution

    |

  10. The nth term of a series is 3^(n) + 2n, find the sum of first n terms ...

    Text Solution

    |

  11. If one arithmetic mean A and two geometric means p, q be inserted betw...

    Text Solution

    |

  12. If A is the A.M. and G is the G.M. of two unequal positive real number...

    Text Solution

    |

  13. Between two positive real numbers a and b, one arithmetic mean A and t...

    Text Solution

    |

  14. If a, b, c are in G.P. and the equation ax^(2) + 2bx + c = 0 and dx^(2...

    Text Solution

    |

  15. If a is A.M. of two positive numbers b and c and two G.M's between b a...

    Text Solution

    |

  16. If G is the G.M. between two positive numbers a and b, show that (1)/(...

    Text Solution

    |

  17. If sum of the square of three different terms in G.P. is S^(2) their s...

    Text Solution

    |

  18. Show that sum of n G.M.s between a and b is ((ab^((1)/(n+1))-ba^((1)/(...

    Text Solution

    |

  19. Evaluate : Sigma(K=1)^(7) [((1)/(5))^(2K+1).(7)^(K-1)]

    Text Solution

    |

  20. The A.M. between m and n and the G.M. between a and b are each equal t...

    Text Solution

    |