Request a call back

Three numbers whose sum is 21 are in A P. If 2,2,14 are added to them respectively , the resulting numbers are in G P. Find the numbers.
Asked by Arun Iyer | 19 Feb, 2011, 05:31: PM
Dear student,
Let the numbers in AP be a-d, a, a+d.
It is given that the sum of these numbers is 21.
So, a-d+a+a+d = 21
This gives, a = 7
So, the numbers are 7-d, 7, 7+d.
It is given that if 2, 2, 14 respectively are added to the numbers, then the resulting numbers are in GP.
So, 9-d, 9, 21+d are in GP.
Therefore,
Thus, when d = -18, the numbers are 25, 7, -11.
When d = 6, the numbers are 1, 7, 13
We hope that clarifies your query.
Regards,
Team
TopperLearning
Answered by | 19 Feb, 2011, 11:35: PM

Application Videos

CBSE 11-science - Maths
Asked by sakshirana374 | 24 Jul, 2022, 05:39: PM
CBSE 11-science - Maths
Asked by sanjuktamukherjee165 | 24 Oct, 2021, 11:04: AM
CBSE 11-science - Maths
Asked by rahulksinha200 | 16 Oct, 2021, 02:08: PM
CBSE 11-science - Maths
Asked by gkmehta1976 | 29 Sep, 2021, 07:02: PM
CBSE 11-science - Maths
Asked by Vibhorjarora798 | 21 Aug, 2021, 05:43: PM
CBSE 11-science - Maths
Asked by shivangkarol | 16 Jun, 2021, 01:18: PM