THe sum of 3 numbers which are in A.P. is 9 and sum of their squares is 35. Find the number

Asked by Arpita | 15th Nov, 2012, 11:32: AM

Expert Answer:

Let the numbers be a-d, a, a+d
So, a-d+a+a+d=9 
a = 3
 
Also, sum of squares is 35.
(3-d)2+32+(3+d)2=35
On simplifying, we get d = +2, -2
 
So, the required numbers in AP are 1, 3, 5 or 5, 3, 1.

Answered by  | 15th Nov, 2012, 04:34: PM

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