SOLUTION: The total age age of Lynn and Carol is 37. Lynn is five years older than Carol. Find their ages.

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Question 1171102: The total age age of Lynn and Carol is 37. Lynn is five years older than Carol. Find their ages.
Found 4 solutions by MathLover1, ikleyn, Alan3354, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let age of Lynn be and age of Carol
if the total age age of Lynn and Carol is , we have
....eq.1
if Lynn is years older than Carol, we have
.......eq.2, substitute in eq.1

....eq.1



go to eq.2

substitute



so, Lynn is and Carol is


Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.

    L     + C = 37

    (C+5) + C = 37

    2C        = 37 - 5

    2C        = 32

     C        = 32/2 = 16.


     L = C+5 = 16 + 5 = 21.


ANSWER.  Lynn is 21 years old.   Carol is 16 years old.

Solved.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The total age age of Lynn and Carol is 37. Lynn is five years older than Carol. Find their ages.
------------------------------
L + C = 37
L - C = 5
============================= Add (or subtract)
Not sufficient for a PhD dissertation, or a Master's, IMO.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


There are dozens of simple algebraic approaches for setting up and solving this problem.

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.

Maybe like this....

(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...

ANSWER: Carol is 16; Lynn is 16+5=21.
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