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25 August, 01:53

Alison and Flynn's combined age is 40. Given that Flynn is 4 years older than Alison, write an equation to find Alison's age.

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  1. 25 August, 02:22
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    Let A = Alison's age, let F = Flynn's age. We will use these to set up a system of equations.

    A + F = 40

    A + 4 = F

    We can rewrite that second equation by subtracting F from both sides and subtracting 4 from both sides. This gives you a new system of equations:

    A + F = 40

    A - F = - 4

    Notice the Fs are going to cancel leaving us to solve for A when we combine like terms:

    2A = 36

    Divide both sides by 2 to isolate variable A.

    A = 18

    Now we plug this into either equation to solve for F. I choose the second equation.

    18 + 4 = F

    22 = F

    Alison is 18 years old and Flynn is 22 years old.
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