SOLUTION: sally is 12 years older than her brother matt. four years from now, matt will be two-thirds as old as sally will be four years from now. how old are they now?

Question 472735: sally is 12 years older than her brother matt. four years from now, matt will be two-thirds as old as sally will be four years from now. how old are they now?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sally is 12 years older than her brother matt.
four years from now, matt will be two-thirds as old as sally will be four years from now.
how old are they now?
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Equations:
s = m + 12
---
m+4 = (2/3)(s+4)
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Substitute for "s" and solve for "m":
m+4 = (2/3)(m+16)
3m+12 = 2m+32
----
m = 20 (Matt's age now)
---
s = m + 12
s = 32 (Sally's age now)
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Cheers,
stan H.
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