1.  K = 2L
2.  (K+3) + (L+3) = 42

2'.  (K+3) + ((1/2)K+3) = 42
     (3/2)K = 36
          K = (2/3)(36) = 24

Let Karen's and Lori's ages be K, and L, respectively

Then we get: K = 2L ------- eq (i)

Also, K + 3 + L + 3 = 42 =====> K + L = 36 ======> L = 36 - K ------- eq (ii)

K = 2(36 - K) ------ Substituting 36 - K for L in eq (i)

K = 72 - 2K

K + 2K = 72

3K = 72

K, or Karen is:  

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