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      Question

      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.
      A 5 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer

      Solution

      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) ┬▓ +49 +(7+x) ┬▓ = 155 49+x┬▓-14x+49+49+x┬▓+14x = 155 2x┬▓ = 155-147 =8 x┬▓ = 4 x= 2 So, find the series - 5,7,9. the smallest part of the series =5

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