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aaron is 13 years older than shelby. in nine years aaron will be twice as old as shelby. how old is shelby?

  • math -

    A = Aarons current age

    S = Shelbys current age


    A = S + 13


    In nine years aaron will be twice as old as shelby:


    ( A + 9 ) / ( S + 9 ) = 2

    ( S + 13 + 9 ) / ( S + 9 ) = 2

    ( S + 22 ) / ( S + 9 ) = 2 Multiply both sides by ( S + 9 )

    S + 22 = 2 ( S + 9 )

    S + 22 = 2 S + 18

    22 - 18 = 2 S - S

    4 = S

    S = 4

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