Question 1171102
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There are dozens of simple algebraic approaches for setting up and solving this problem.<br>
If a formal algebraic solution is not required, you can get some good problem-solving experience by solving the problem using logical reasoning and some simple arithmetic.<br>
Maybe like this....<br>
(1) Lie about Lynn's age by subtracting 5 years from her real age.
(2) That makes her age the same as Carol's; and the sum of their ages is now 37-5=32.
(3) Since they are now the same age and the sum of their ages is 32, each of them is 32/2=16.
(4) Now tell the truth by adding the 5 years back on to Lynn's age to find...<br>
ANSWER: Carol is 16; Lynn is 16+5=21.<br>