Problema Solution

Tim is 9 years older than JoAnn. Six years from now the sum of their ages will be 89. (Let x represent JoAnn's current age in years. Complete the table below such that each entry is in terms of x.)

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Let


x represent Joann's current age in years


y represent Tim's current age in years


Tim is 9 years older than Joann:


y = x + 9


Six years from now the sum of their ages will be 89:


(x + 6) + (y + 6) = 89


by solving the system of equations:


y = x + 9


(x + 6) + (y + 6) = 89


........


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........

x = 34 years


y = 43 years


Tim's current age is 43 years.


Joann's current age is 34 years.