SOLUTION: Sara is 1/6 as old as Donald. In 6 years, Sarah's age will be 11 years more than 1/5 of Donald's age. How old are Sarah and Donald now?

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Question 147919: Sara is 1/6 as old as Donald. In 6 years, Sarah's age will be 11 years more than 1/5 of Donald's age. How old are Sarah and Donald now?
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
Sara is 1/6 as old as Donald.
Donald=d
Sarah=%281%2F6%29d
In 6 years, Sarah's age will be 11 years more than 1/5 of Donald's age.
Sarah%2B6=%281%2F5%29%28Donald%2B6%2B11%29
or
%281%2F6%29d%2B6=%281%2F5%29%28d%2B6%2B11%29
Multiply both sides by 5.
%285%2F6%29d%2B30=%28d%2B6%2B11%29
Subtract 30 from both sides.
%285%2F6%29d=d-13
Subtract d from both sides.
-%281%2F6%29d=-13
Eliminate the negatives.
%281%2F6%29d=13
*Therefore Sarah=13.

Multiply both sides by 6.
d=78
*Therefore Donald=78

Check: %281%2F6%29d%2B6=%281%2F5%29%28d%2B6%2B11%29 = %2813%2B6%29=%281%2F5%29%2895%29 or 19=95%2F5. It's true!
Sarah=13
Donald=78