21 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 155. Find the smallest part.
Let the three numbers be (a-x), (a), (a +x) ATQ- a-x +a+ a+ x = 21 3a = 21 a =7 So, numbers 7-x,7,7+x ATQ- (7-x) ² +49 +(7+x) ² = 155 49+x²-14x+49+49+x²+14x = 155 2x² = 155-147 =8 x² = 4 x= 2 So, find the series - 5,7,9. the smallest part of the series =5
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