SOLUTION: Kari is 6 years older than Adam. In 9 years, 1/2 of Adams age will equal 1/3 Kari's age. What are the ages of Adam and Kari in 2 years?

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Question 1025581: Kari is 6 years older than Adam. In 9 years, 1/2 of Adams age will equal 1/3 Kari's age. What are the ages of Adam and Kari in 2 years?
Answer by stanbon(75887) About Me  (Show Source):
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Kari is 6 years older than Adam. In 9 years, 1/2 of Adams age will equal 1/3 Kari's age. What are the ages of Adam and Kari in 2 years?
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K = A+6
(1/2)A = (1/3)K
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Substitute for "K" and solve for "A"::
A/2 = (A+6)/3
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3A = 2A+12
Adams's age = 12 yrs
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Kari's age = A+6 = 18 yrs
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Cheers,
Stan H.
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