SOLUTION: Four years ago Melina was twice as old as Phoebe. In four years, Phoebe will be three-fourths of Melina's age. Find Melina and Phoebe's ages now.

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Question 409569: Four years ago Melina was twice as old as Phoebe. In four years, Phoebe will be three-fourths of Melina's age. Find Melina and Phoebe's ages now.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Four years ago Melina was twice as old as Phoebe. In four years, Phoebe will be three-fourths of Melina's age. Find Melina and Phoebe's ages now.
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Equations:
(m-4)= 2(p-4)
(p+4) = (3/4)(m+4)
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Modify the 2nd equation:
4p+16 = 3m+12
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Rearrange:
m-2p= -4
3m-4p= 4
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Modify:
3m-6p = -12
3m-4p = 4
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Subtract and solve for "p":
2p = 16
p = 8
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Solve for "m":
m-2p = -4
m -2*8 = -4
m -16 = -4
m = 12
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Cheers,
Stan H.
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