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Math

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Find two numbers whose ratio is 4 to 3 and are such that the sum of their squares is 100.

  • Math -

    8 to 6

  • Math -

    let the numbers be 4x and 3x.

    (4x)^2 + (3x)^2 = 100
    16x^2 + 9x^2 = 100
    25x^2 = 100
    x^2 = 4
    x = 2

    So, the numbers are 6 and 8.

    Check: 6^2 + 8^2 = 36+64 = 100

    Or, you could have thought first of the ubiquitous 3-4-5 triangle.

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