SOLUTION: Six years ago, Rose was four times as old as her daughter. Ten years from now, she will be only twice as old. Find the present age of Rose.

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Question 325638: Six years ago, Rose was four times as old as her daughter. Ten years from now, she will be only twice as old. Find the present age of Rose.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
rose and daughter
%28r-6%29=4%28d-6%29
%28r%2B10%29=2%28d%2B10%29
above are the 2 equations you get from reading the problem, the -6 is 6 years ago and the +10 is 10 years in the future.
r=4d-24%2B6
r=4d-18


%28r%2B10%29=2%28d%2B10%29
%284d-18%2B10%29=2%28d%2B10%29
%284d-8%29=2%28d%2B10%29
2%282d-4%29=2%28d%2B10%29divide by 2 on both sides
%282d-4%29=%28d%2B10%29
d-4=10
highlight%28d=14%29


r=4d-18
r=4%2814%29-18
r=56-18
highlight%28r=38%29