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.

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) (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.
-----------
Equations:
(m-4)= 2(p-4)
(p+4) = (3/4)(m+4)
---
Modify the 2nd equation:
4p+16 = 3m+12
-------------------------
Rearrange:
m-2p= -4
3m-4p= 4
-------------------
Modify:
3m-6p = -12
3m-4p = 4
----
Subtract and solve for "p":
2p = 16
p = 8
-----
Solve for "m":
m-2p = -4
m -2*8 = -4
m -16 = -4
m = 12
----------------------
Cheers,
Stan H.
================
RELATED QUESTIONS
Phoebe,Eloise and Radhika have the combined age of 88. Eloise is 3 years older than... (answered by Cromlix)

Four years ago, Lisa was twice as old as John. Four years from now, John will be three... (answered by Fombitz)

Four years ago, Julie was the same age as Paul will be in three years. Right now Paul is... (answered by FrankM)

Six years ago, Sam was three times as old as Sue. Four years from now Sam will be twice... (answered by ankor@dixie-net.com)

Three years ago a father was thrice as old as his son in 5 years time the father will be... (answered by ankor@dixie-net.com)

Kei is twice as old as Mira. In three years, the sum of their ages will be four times as... (answered by MathLover1)

Four years ago henry was three times as old as alfred. Three years hence he will twice as (answered by Fombitz)

five years ago chloe was twice as old as danny. seven years hence, three times chloe's... (answered by Maths68)

In 9 years time a mother will be twice as old as her son. Three years ago she was four... (answered by ikleyn,jorel1380)