SOLUTION: Joseph is four years older than twice his sister's age. In four years' time he will be eleven years older her. How old is Joseph now?

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Question 544567: Joseph is four years older than twice his sister's age. In four years' time he will be eleven years older her. How old is Joseph now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let j = Joseph's age now
Let s = Sister's age now
given:
(1) +j+=+2s+%2B+4+
(2) +j+%2B+4+=+s+%2B+4+%2B+11+
----------------------
(2) +j+=+s+%2B+11+
Substitute (1) into (2)
(2) +2s+%2B+4+=+s+%2B+11+
(2) +s+=+7+
and
(1) +j+=+2%2A7+%2B+4+
(1) +j+=+14+%2B+4+
(1) +j+=+18+
Joseph is 18 and his Sister is 7