SOLUTION: Michael is four years older than Kate. Twice Michael's age plus three times Kate's age is 38. What are their ages?

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Question 1109464: Michael is four years older than Kate. Twice Michael's age plus three times Kate's age is 38. What are their ages?
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Michael is four years older than Kate. Twice Michael's age plus three times Kate's age is 38. What are their ages?
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M = K + 4
2M + 3K = 38

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
m = k + 4 (1), given
2m + 3k = 38 (2), given
Subs RHS of (1) into (2):
2(k+4) + 3k = 38
Solve this for k then you can find m.
You should be able to find k=6, m=10

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