SOLUTION: Tim is 5 years older than JoAnn. Six years from now the sume of their ages will be 79. How old are Tim and JoAnn now?

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Question 187690This question is from textbook
: Tim is 5 years older than JoAnn. Six years from now the sume of their ages will be 79. How old are Tim and JoAnn now? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let t=age of Tim (his current age) and j=age of JoAnn (her current age)


This means that t+6 is Tim's age 6 years from now and j+6 is JoAnn's age 6 years from now.


"Tim is 5 years older than JoAnn" translates to t=j%2B5


"Six years from now the sume of their ages will be 79" translates to %28t%2B6%29%2B%28j%2B6%29=79


%28t%2B6%29%2B%28j%2B6%29=79 Start with the second equation.


t%2B6%2Bj%2B6=79 Remove the parenthesis.


t%2Bj%2B12=79 Combine like terms.


t%2Bj=79-12 Subtract 12 from both sides.


t%2Bj=67 Combine like terms.


j%2B5%2Bj=67 Plug in t=j%2B5


j%2Bj=67-5 Subtract 5 from both sides.


2j=62 Combine like terms.


j=62%2F2 Divide both sides by 2.


j=31 Reduce.


So this means that JoAnn is 31 years old (right now).


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t=j%2B5 Go back to the first equation


t=31%2B5 Plug in j=31


t=36 Add


So Tim is 36 years old (at this moment)