SOLUTION: Eight years from now, Rex will be twice as old as Mark. The current sum of ages of Rex and Mark is 77. How old is Rex?

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Question 957275: Eight years from now, Rex will be twice as old as Mark. The current sum of ages of Rex and Mark is 77. How old is Rex?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Eight years from now, Rex will be twice as old as Mark. The current sum of ages of Rex and Mark is 77. How old is Rex?
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Equations::
r+8 = 2(m+8)
r + m = 77
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Rearrange::
r - 2m = 8
r + m = 77
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Subtract and solve for "m":
3m = 69
m = 23 yrs (Mark's age now)
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Solve for "r"::
r = 77-m
r = 77-23 = 54 yrs (Rex's age now)
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Cheers,
Stan H.
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