SOLUTION: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now?

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Question 268338: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = Mellisa's age now
Let j = Joyce's age now
m+%2B+2 = Mellisa's age in 2 years
j+%2B+2 = Joyce's age in 2 years
given:
(1) m+=+j+-+24
(2) j+%2B+2+=+3%2A%28m+%2B+2%29
---------------------------
From (2)
(2) j+%2B+2+=+3m+%2B+6
(2) j+-+3m+=+4
From (1)
(1) m+=+j+-+24
(1) j+-+m+=+24
Subtract (2) from (1)
(1) j+-+m+=+24
(2) -j+%2B+3m+=+-4
2m+=+20
m+=+10
and
j+-+m+=+24
j+=+m+%2B+24
j+=+10+%2B+24
j+=+34
Mellisa is 10 and Joyce is 34
check:
(2) j+%2B+2+=+3%2A%28m+%2B+2%29
(2) 34+%2B+2+=+3%2A%2810+%2B+2%29
36+=+3%2A12
36+=+36
OK