document.write( "Question 1133388: Karen is twice as old as Lori. Three years from now, the sum of their ages will be 42. How old is Karen? \n" ); document.write( "
Algebra.Com's Answer #750604 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Karen is twice as old as Lori. Three years from now, the sum of their ages will be 42. How old is Karen?
\n" ); document.write( "
Let Karen's and Lori's ages be K, and L, respectively
\n" ); document.write( "Then we get: K = 2L ------- eq (i)
\n" ); document.write( "Also, K + 3 + L + 3 = 42 =====> K + L = 36 ======> L = 36 - K ------- eq (ii)
\n" ); document.write( "K = 2(36 - K) ------ Substituting 36 - K for L in eq (i)
\n" ); document.write( "K = 72 - 2K
\n" ); document.write( "K + 2K = 72
\n" ); document.write( "3K = 72
\n" ); document.write( "K, or Karen is: \"highlight_green%28matrix%281%2C4%2C+72%2F3%2C+%22=%22%2C+24%2C+years-old%29%29\" \n" ); document.write( "
\n" );