SOLUTION: The sum of the ages of Kyle and Meredith is 68 years. 8 years ago, Kyle's age was 3 times Meredith's age. How old is Kyle now?

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Question 1147537: The sum of the ages of Kyle and Meredith is 68 years. 8 years ago, Kyle's age was 3 times Meredith's age. How old is Kyle now?

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = Kyle's age now
Let = Meredith's age now
-----------------------------------------
(1)
(2)
--------------------------------
(2)
(2)
Add (1) and (2)
(1)
(2)
----------------------------

and
(1)
(1)
(1)
Kyle is 47 now
------------------------
check:
(2)
(2)
(2)
(2)
OK

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
The sum of the ages of Kyle and Meredith is 68 years. 8 years ago, Kyle's age was 3 times Meredith's age. How old is Kyle now?

Let Kyle's and Meredith's ages be K and M, respectively
Then we get: K + M = 68_____M = 68 - K ------ eq (i)
Also, K - 8 = 3(M - 8) ------ eq (ii)
K - 8 = 3(68 - K - 8) ------- Substituting 68 - K for M in eq (ii)
K - 8 = 3(60 - K)
K - 8 = 180 - 3K
4K = 188
Kyle's age, or