SOLUTION: Rose is two thirds as old as johnny. In 5 years, the sum of their ages will be 50 years. Find their present ages.

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Question 347113: Rose is two thirds as old as johnny. In 5 years, the sum of their ages will be 50 years. Find their present ages.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rose is two thirds as old as johnny. In 5 years, the sum of their ages will be 50 years. Find their present ages.
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Equations:
r = (2/3)j
(r+5)+(j+5) = 50
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Substitute for "r" and solve for "j":
((2/3)j+5 + j+5 = 50
(5/3)j + 10 = 50
(5/3)j = 40
(1/3)j = 8
j = 24 (johnny's age now)
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r = (2/3)j = (2/3)24 = 16 (rose's age now)
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Cheers,
Stan H.