Question 1133388
L = Lori's age
K = Karen's age 

<pre>
1.  K = 2L
2.  (K+3) + (L+3) = 42
</pre>

Re-writing (2) w/substitution for L (L=(1/2)K):
<pre>
2'.  (K+3) + ((1/2)K+3) = 42
     (3/2)K = 36
          K = (2/3)(36) = 24
</pre>
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Ans: {{{ highlight( K=24 ) }}}
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Check:
 K=24 -->  L=12

In three years:  24+3 + 12+3 = 27 + 15 = 42 (ok)