Home
Class 11
MATHS
The sum of three numbers in A.P. is 15. ...

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.

Text Solution

Verified by Experts

The correct Answer is:
26, 5,-16 or 2,5,8
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (l) LATQ|6 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (m) LATQ|10 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) LATQ|12 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them respectively the resulting numbers re in G.P. Find the numbers.

Three numbers whose sum is 18 are in AP if 2,4,11 are added to them respective the resulting numbers are in GP.Find the numbers.

Knowledge Check

  • The sum of three numbers in A.P. is 15 and sum of their squares is 93. Find the greatest number :

    A
    6
    B
    10
    C
    8
    D
    7
  • Similar Questions

    Explore conceptually related problems

    The sum of 3 numbers in A.P. is 15. If we add 1, 4, 19 respectively, then the new numbers form a G.P. Find the numbers of the A.P.

    Three numbers are in A.P.and their sum is 15. If 1,3,9 be added to them respectively they form a G.P.Find the numbers.

    The sum of three consecutive numbers in a G.P. is 56. If we subtract 1, 7, 21 respectively from these numbers, the new numbers form an A.P. Find the numbers.

    The product of three numbers in G.P.is 216. If 2,8,6, be added to them,the results are in A.P.find the numbers.

    The sum of four numbers in A.P. is 4 and their product is 385. Find the numbers.

    The product of three numbers in GP is 1000. If 6 is added to the second number and 7 is added to the third number, we get an AP. Find the numbers.

    The product of three numbers in G.P. is 64 and their sum is 14. Find the numbers.