Question

:) The sum of three decreasing numbers in A.P. is 27. If -1, -1,3 are
added to them respectively, the resulting series is a G.P. Find the
numbers.​

Answer 1

Step-by-step explanation:

let the numbers be x, x-1,x-2,they are in AP

sum of three decreasing numbers is 27

i.e., x+(x-1)+(x-2)=27

if -1,-1,3 are added to them respectively, we get

(x-1)+(x-1-1)+(x-2+3)=27

(x-1)+(x-2)+(x+1)=27

x-1+x-2+x+1=27

3x-3+1=27

3x-2=27

3x=29

x=29/3

GP:29/3,29/3-1,29/3-2

29/3,26/3,23/3