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The sum of three decreasing numbers in AP is 27. If -1, -1, and 3 are added to them respectively the resulting series is in GP. The numbers are


1 Answer

Answer : (a) 17,9,1
Explanation : Let the 3 numbers in AP be a+d,a and a-d (as the numbers are decreasing)
Sum is a+d+a+a-d=3a=27 , a=9
As the three numbers are in GP when -1,-1 and 3 are added,
Putting the value of d , The series is 9-4 ,9, 9+4
5,9,13 but this is increasing
Therefore d=8 , series is 9+8 , 9 , 9-8
Answer is 17 ,9 , 1.
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