SOLUTION: Can anyone help me on this question A girl is 18 years younger than her mother. in 6 years time the sum of their ages will be 54 how old is girls?

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Question 1087058: Can anyone help me on this question
A girl is 18 years younger than her mother. in 6 years time the sum of their ages will be 54 how old is girls?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = the girl's age
Let +m+ = the mother's age
-------------------------------
(1) +g+=+m+-+18+
(2) +%28+g+%2B+6+%29+%2B+%28+m+%2B+6+%29+=+54+
--------------------------------
(2) +g+%2B+m+%2B+12+=+54+
(2) +g+%2B+m+=+42+
and
(1) +g+-+m+=+-18+
-----------------------------
Add (1) and (2)
(2) +g+%2B+m+=+42+
(1) +g+-+m+=+-18+
---------------------
+2g+=+24+
+g+=+12+
The girl is 12
----------------------
check:
(1) +g+=+m+-+18+
(1) +12+=+m+-+18+
(1) +m+=+30+
and
(2) +g+%2B+m+=+42+
(2) +12+%2B+30+=+42+
(2) +42+=+42+
OK