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The sum of three numbers is 54. The second number is twice the first and four less than the third. What is the third number?

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  • 1 month ago
    Favourite answer

    The sum of three numbers is 54. 

    The second number is twice the first and four less than the third. 

    What is the third number?

    x + y + z = 54

    2x = y

    y = z - 4

    z = 2x + 4

    x + 2x + 2x = 50

    x = 10

    z = 24

    The third number is 24.

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  • 1 month ago

    Let F be the first number.

    The 2nd number is 2F.

    The 3rd number is 2F + 4.

    If F + 2F + 2F + 4 = 54, evidently F is 10 and therefore the 3rd number is 24.

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  • Jeremy
    Lv 6
    1 month ago

    x = first number; 2x = second number; 2x + 4 = third number. 

    Hence: 

    x + 2x + 2x + 4 = 54 => 5x + 4 = 54 => 5x = 54 - 4 => 5x = 50 => x = 50/5 = 10.

    First number = 10; Second number = 2 * 10 = 20; Third number = 2 * 10 + 4 = 24. 

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