SOLUTION: Karens age is 13 years older than 4 times joes age. When added , their total is 73 . What are their ages ?

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Question 945673: Karens age is 13 years older than 4 times joes age. When added , their total is 73 . What are their ages ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = Karen's age
Let +j+ = Joe's age
-----------------------
(1) +k+=+4j++%2B+13+
(2) +k+%2B+j+=+73+
--------------------
Substitute (1) into (2)
(2) +4j+%2B+13+%2B+j+=+73+
(2) +5j+%2B+13+=+73+
(2) +5j+=+60+
(2) +j+=+12+
and
(2) +k+%2B+j+=+73+
(2) +k+=+73+-+j+
(2) +k+=+61+
Karen is 61
Joe is 12
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check:
(1) +k+=+4j++%2B+13+
(1) +61+=+4%2A12+%2B+13+
(1) +61+=+48+%2B+13+
(1) +61+=+61+
OK