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    Question

    18 is divided into three parts which are in arithmetic

    progression (A.P.) in such a way that the sum of their square is 158. Find the square of the sum
    A 196 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 121 Correct Answer Incorrect Answer
    D 324 Correct Answer Incorrect Answer

    Solution

    Let the three numbers be (a-x), (a), (a+ x) ATQ- a-x +a+ a+ x = 18 3a = 18 a =6 So, numbers 6-x,6,6+x ATQ- (6-x) ┬▓ +36 +(6+x) ┬▓ = 158 36+x┬▓-12x+36+36+x┬▓+12x = 155 2x┬▓ = 158-108 =50 x┬▓ = 25 x= 5 So, find the series - 1,6,.11 square of the sum = 324

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