SOLUTION: Suzie is 4 years older than Sally. In 7 years, the sum of their ages will be 44. How old is each girl now?

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Question 488611: Suzie is 4 years older than Sally. In 7 years, the sum of their ages will be 44. How old is each girl now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = Suzie's age now
Let b = Sally's age now
given:
(1) +a+=+b+%2B+4+
(2) +a+%2B+7+%2B+b+%2B+7+=+44+
-------------------
(2) +a+%2B+b+=+44+-+14+
(2) +a+%2B+b+=+30+
and
(1) +a+-+b+=+4+
Add (1) and (2)
(2) +a+%2B+b+=+30+
(1) +a+-+b+=+4+
+2a+=+34+
+a+=+17+
and, since
(2) +a+%2B+b+=+30+
(2) +b+=+30+-+17+
(2) +b+=+13+
Suzie is 17 now and
Sally is 13 now