SOLUTION: Rene is twice as old as Dana. Four years ago, Rene was three times as old as Dana. How old are Rene and Dana now? Show work Write an algebraic expression to tell how old Ren

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Question 844077: Rene is twice as old as Dana.
Four years ago, Rene was three times as old as Dana.
How old are Rene and Dana now? Show work
Write an algebraic expression to tell how old Rene is if Dana is d year old. Explain how you figured it out.
Found 2 solutions by josmiceli, nanakwame:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +r+=+2d+
(2) +r+-+4+=+3%2A%28+d+-+4+%29+
------------------------
(2) +r+-+4+=+3d+-+12+
(2) +3d+-+r+=+8+
Substitute (1) into (2)
(2) +3d+-+2d+=+8+
(2) +d+=+8+
and
(1) +r+=+2d+
(1) +r+=+16+
Rene is 16 and Dana is 8
-----------------------
(2) +r+-+4+=+3%2A%28+d+-+4+%29+
(2) +r+=+3d+-+12+%2B+4+
(2) +r+=+3d+-+8+



Answer by nanakwame(5) About Me  (Show Source):
You can put this solution on YOUR website!
Dana=d
Rene=2b
4 years ago
Dana=d-4
Rene=2d-4
if Rene's age was 3 times older than that of Rene then 3ˇÁDana's age=Rene's age at that time
so 2d-4=3(d-4)
2d-4=3d-12
12-4=3d-2d
d=8
so Dana's age is 4years
Rene's age is 36years
if Dana's age is d
Rena's age is 2d