SOLUTION: peter was born 7 years before Juan. Peters age was 3 years more than five times the age of juan. How old will juan be in 9 years?

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Question 1057696: peter was born 7 years before Juan. Peters age was 3 years more than five times the age of juan. How old will juan be in 9 years?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = Peter's age now
Let +j+ = Juan's age now
----------------------------
(1) +p+=+j+%2B+7+
(2) +p+=+5j+%2B+3+
---------------------
(1) +p+-+j+=+7+
(2) +p+-+5j+=+3+
-------------------
Subtract (2) from (1)
(1) +p+-+j+=+7+
(2) +-p+%2B+5j+=+-3+
--------------------
+4j+=+4+
+j+=+1+
----------------
Find +j+%2B+9+
+j+%2B+9+=+1+%2B+9+
+j+%2B+9+=+10+
Juan will be 10 in 9 yrs
----------------------
check:
(1) +p+=+j+%2B+7+
(1) +p+=+1+%2B+7+
(1) +p+=+8+
and
(2) +p+=+5j+%2B+3+
(2) +p+=+5%2A1+%2B+3+
(2) +p+=+8+
OK