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8th Class Mathematics Squares and Square Roots Question Bank Squares and Square Roots

  • question_answer
    If the three numbers are in the ratio 2 : 3 : 5, so that the sum of their squares is 608. Find the numbers respectively.

    A)  8, 12, 20                    

    B)  12, 8, 20        

    C)         20, 8, 12        

    D)         20, 12, 8                    

    Correct Answer: A

    Solution :

    Let the numbers be 2x, 3x and 5x. According to question, we have \[{{(2x)}^{2}}+{{(3x)}^{2}}+{{(5x)}^{2}}=608\] \[\Rightarrow 4{{x}^{2}}+9{{x}^{2}}+25{{x}^{2}}=608\] \[\Rightarrow 38{{x}^{2}}=608\] \[\Rightarrow {{x}^{2}}=\frac{608}{38}=16\Rightarrow x=4\] Hence, the numbers are 8, 12 and 20.


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