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Three numbers are in the ratio 1/2: 1/3: ¼. If the sum of their squares is 244, find the numbers

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It is a question from ML aggarwal, class 10th, chapter 7, ratio and proportion, Avichal publication

In this question we have a total sum and ratio in which we have to divide the sum.

Question 17

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  1. Solution:

    It is given that

    Ratio of three numbers = 1/2: 1/3: 1/4

    = (6: 4: 3)/ 12

    = 6: 4: 3

    Consider first number = 6x

    Second number = 4x

    Third number = 3x

    So based on the condition

    (6x)2 + (4x)2 + (3x)2 = 244

    36x2 + 16x2 + 9x2 = 244

    So we get

    61x2 = 244

    x2 = 244/61 = 4 = 22

    x = 2

    Here

    First number = 6x = 6 × 2 = 12

    Second number = 4x = 4 × 2 = 8

    Third number = 3x = 3 × 2 = 6

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