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Thread: Find John's Age

  1. #1
    Super Member harpazo's Avatar
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    Find John's Age

    Five years ago, Johnís age was half of the age he will be in 8 years. How old is he now?

    Solution:

    Let x = John's current age

    x - 5 = John's age 5 years ago

    Let x + 8 = John's age in 8 years

    My Equation:

    x - 5 = (1/2)(x + 8)

    Correct?
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  2. #2
    MHF Contributor
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    Re: Find John's Age

    Quote Originally Posted by harpazo View Post
    x - 5 = (1/2)(x + 8)
    Correct?
    Solve for x, then check if x+8 = 2(x-5)
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  3. #3
    Super Member harpazo's Avatar
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    Re: Find John's Age

    Quote Originally Posted by DenisB View Post
    Solve for x, then check if x+8 = 2(x-5)
    The question goes on to say half the age John will be in 8 years. I do not see 1/2 in your equation.
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    Re: Find John's Age

    Quote Originally Posted by harpazo View Post
    The question goes on to say half the age John will be in 8 years. I do not see 1/2 in your equation.
    Denis McField multiplied both sides by 2. Let me show you step by step:
    x - 5 = (1/2)(x + 8)
    2 ◊ (x - 5) = 2 ◊ (1/2)(x + 8)
    2(x - 5) = x + 8
    x+8 = 2(x-5)
    Thanks from DenisB and harpazo
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  5. #5
    Super Member harpazo's Avatar
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    Re: Find John's Age

    Quote Originally Posted by Monoxdifly View Post
    Denis McField multiplied both sides by 2. Let me show you step by step:
    x - 5 = (1/2)(x + 8)
    2 ◊ (x - 5) = 2 ◊ (1/2)(x + 8)
    2(x - 5) = x + 8
    x+8 = 2(x-5)
    Thank you. You see, I am at the level of "Math For Dummies" as I made known to member Dan.
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