CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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.


Open in App
Solution

Let the numbers be :

ar,a,ar

It is given that product of three numbers in G.P. is 216.

ar×a×ar=216

a3=216

a3=63

a=6

Now 2,8,6 be added to them then the number becomes

ar+2,a+8,ar+6 are in A.P.

6r+2,6+8,6r+6 are in A.P.

14-6r-2=6r+6-14

12-6r=6r-8

3r2-10r+3=0

r-3r-13=0

r=3orr=13

when r=3 then numbers are

2,6,18

When r=13 then numbers are

18,6,2

Hence, the numbers are 2,6,18 or 18,6,2


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon