SOLUTION: In 1985, the Lincoln maemorial was 1 1/2 times as old as the jefferson memorial. if the lincoln memorial was built 21 years before the jefferson memorial, give the year when each

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: In 1985, the Lincoln maemorial was 1 1/2 times as old as the jefferson memorial. if the lincoln memorial was built 21 years before the jefferson memorial, give the year when each      Log On

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Question 453283: In 1985, the Lincoln maemorial was 1 1/2 times as old as the jefferson memorial. if the lincoln memorial was built 21 years before the jefferson memorial, give the year when each was built
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = the age of the Lincoln Memorial in 1985
Let b = the age of the Jefferson Memorial in 1985
given:
+a+=+1.5b+
+a+=+b+%2B+21+
By substitution:
+1.5b+=+b+%2B+21+
+.5b+=+21+
+b+=+42+
and since,
+a+=+b+%2B+21+
+a+=+63+
1985 minus 63 years = 1922, the year
the Lincoln memorial was built
1985 minus 42 years = 1943, the year the Jefferson
Memorial was built