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23 August, 14:37

Kevin is 2 times as old as Gabriela. 12 years ago, Kevin was 6 times as old as Gabriela.

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  1. 23 August, 15:13
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    Answer: Gabriela is 15 years old
  2. 23 August, 18:07
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    Answer: Kevin is 30 years old today and Gabriela is 15 years old today.

    Step-by-step explanation: let k = kevin's age today.

    let b = gabriela's age today.

    k = 2g

    this means kevins age is two time gabriela's age today.

    12 years ago, kevin was 6 times as old as gabriela was 12 years ago.

    kevin's age 12 years ago was k - 12.

    gabriela's age 12 hears ago was g - 12.

    (k - 12) = 6 * (g - 12)

    this means that kevin's age 12 years ago was 6 times gabriela's age 12 years ago.

    so, you have 2 equations.

    k = 2g

    (k - 12) = 6 * (g - 12)

    these 2 equations have to be solved simultaneously because the same answer has to apply to both equations and not just one of them.

    since k = 2g from the first equation, then replace k in the second equation with 2g.

    you get (2g - 12) = 6 * (g - 12)

    now this equation can be solved for g.

    simplify this equation to get 2g - 12 = 6g - 72

    subtract 2g from both sides of the equation and add 72 to both sides of the equation to get 60 = 4g.

    solve for g to get g = 60/4 = 15.

    if g = 15, then k = 2g = 30.

    your answer is that kevin is 30 years old today and gabriela is 15 years old today.

    12 years ago, kevin would have been 30 - 12 = 18.

    12 years ago, gabriela would have been 15 - 12 = 3.

    12 years ago kevin would have been 18 / 3 = 6 times as old as gabriela was 12 years ago.

    this confirms the answer is correct because all the problem statements have been satisfied.
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