SOLUTION: jane is 4 times as old as michelle. after 6 years, the sum of their ages will be 47. how old is jane now?

Question 1114044: jane is 4 times as old as michelle. after 6 years, the sum of their ages will be 47. how old is jane now?
Found 3 solutions by amalm06, addingup, greenestamps:
Answer by amalm06(224)   (Show Source): You can put this solution on YOUR website!

So Jane is 28 now (Answer)
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
j = 4m
j+6+m+6 = 47 substitute for j:
4m+6+m+6 = 47
5m+12 = 47
5m = 35
m = 7 so michelle is 7
and jane is 4 times older:
jane = 4(7) = 28 years old
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Their ages are x and 4x; the sum of their ages is x+4x=5x.

If the sum of their ages in 6 years will be 47, the sum of their ages now is 47-2*6 = 35.

So 5x=35 --> x=7.

Their ages now are x=7 and 4x=28.

Answer: Jane is now 28.
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