SOLUTION: Juan's age is half the age of Peter. Twice the age of Juan added to Peter is the age of Maria. After two years, Juan's age is half the age of Maria and Peter's age is equal to the

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Question 1146722: Juan's age is half the age of Peter. Twice the age of Juan added to Peter is the age of Maria. After two years, Juan's age is half the age of Maria and Peter's age is equal to the age of Maria two years ago. How old is Juan when his age is still half of the age of Peter?
Answer by josgarithmetic(39620) About Me  (Show Source):
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Juan's age is half the age of Peter. Twice the age of Juan added to Peter is the age of Maria. After two years, Juan's age is half the age of Maria and Peter's age is equal to the age of Maria two years ago. How old is Juan when his age is still half of the age of Peter?
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PERSON       PRESENT AGE
Juan          j
Peter         2j
Maria         2j+2j=4j

After two more years
system%28j%2B2=%281%2F2%29%284j%2B2%29%2Cand%2C2j%2B2=4j-2%29
These two equations' solutions must match.

j%2B2=2j%2B1
j=1
-
2j%2B2=4j-2
2=2j-2
1=j-1
j=2
-
The values for j did not match.

Recheck problem description.