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Posted by on Wednesday, December 9, 2009 at 4:44pm.

This Christmas,your brother Jack will be 2 years from being twice as old as your sister Jen.The sum of Jack's age and three times Jen's age is 66.How old is Jen?

  • Math - , Thursday, December 10, 2009 at 11:05am

    Let x = Jack's age
    Let y = Jen's age

    From the information above:

    2y = x - 2
    x + 3y = 66

    Get x on one side for the first equation.

    x = 2y + 2

    Substitute 2y + 2 for x in the second equation and solve for y. Put that value in the first equation to solve for x. Check by inserting both values into the second equation.

    I hope this helps.

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