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?

2 answers

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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