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the sum of the age of a girl and her brother is 26 year 3 years ago her age was 4 time the age of her brother. find their present age?

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  1. g = girls age

    b = boys age

    g + b = 26 Subtract b to both sides

    g + b - b = 26 - b

    g = 26 - b

    g - 3 = 4 ( b - 3 )

    26 - b - 3 = 4 ( b - 3 )

    23 - b = 4 b - 12 Add b to both sides

    23 - b + b = 4 b + b - 12

    23 = 5 b - 12 Add 12 to both sides

    23 + 12 = 5 b - 12 + 12

    35 = 5 b Divide both sides by 5

    35 / 5 = 5 b / 5

    7 = b

    b = 7

    g = 26 - b

    g = 26 - 7

    g = 19

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