SOLUTION: Kurt is 12 years younger than MARK. When Mark's age is increased by 20% and Kurts age is increased by 25%, the sum of their ages is 83. What's Kurt's age?

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Question 806055: Kurt is 12 years younger than MARK. When Mark's age is increased by 20% and Kurts age is increased by 25%, the sum of their ages is 83. What's Kurt's age?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
K and M, their present ages.

K=M%2B12.
M%281.20%29%2BK%281.25%29=83.
Substituting for K, 1.2M%2B%28M%2B12%291.25=83

Simply solve first for M and then use the result to get K.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Kurt is 12 years younger than MARK. When Mark's age is increased by 20% and Kurts age is increased by 25%, the sum of their ages is 83. What's Kurt's age?

Kurt's age: highlight_green%2828%29

You can do the check!!

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