document.write( "Question 603582: Alice is as old as Betty and Christine together. Last year, Betty was twice as old a Christine. Two years hence, Alice will be twice as old as Christine. What are the ages of the three girls? \n" ); document.write( "
Algebra.Com's Answer #380753 by ankor@dixie-net.com(22740)\"\" \"About 
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Alice is as old as Betty and Christine together. Last year, Betty was twice as old a Christine.
\n" ); document.write( " Two years hence, Alice will be twice as old as Christine.
\n" ); document.write( " What are the ages of the three girls?
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"Alice is as old as Betty and Christine together.
\n" ); document.write( "a = b + c
\n" ); document.write( ":
\n" ); document.write( "\"Last year, Betty was twice as old a Christine.\"
\n" ); document.write( "b - 1 = 2(c-1)
\n" ); document.write( "b - 1 = 2c - 2
\n" ); document.write( "b = 2c - 2 + 1
\n" ); document.write( "b = 2c - 1
\n" ); document.write( ":
\n" ); document.write( "\"Two years hence, Alice will be twice as old as Christine.\"
\n" ); document.write( "a + 2 = 2(c+2)
\n" ); document.write( "a + 2 = 2c + 4
\n" ); document.write( "a = 2c + 4 - 2
\n" ); document.write( "a = 2c + 2
\n" ); document.write( ":
\n" ); document.write( "the 1st equation
\n" ); document.write( "a = b + c
\n" ); document.write( "replace a with (2c+2). replace b with (2c-1)
\n" ); document.write( "2c + 2 = 2c - 1 + c
\n" ); document.write( "2 + 1 = c
\n" ); document.write( "c = 3 yrs old
\n" ); document.write( "then
\n" ); document.write( "a = 2(3) + 2
\n" ); document.write( "a = 8 yrs old
\n" ); document.write( "and
\n" ); document.write( "b = 2(3) - 1
\n" ); document.write( "b = 5 yrs old\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " What are the ages of the three girls? 8, 5, 3 \n" ); document.write( "
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