SOLUTION: ‎"Four years ago, the sum of the ages of May and Ann was 45. Six years from now, twice Anne's age will be 28 years more than May's age then. How old is May now??

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Question 486645: ‎"Four years ago, the sum of the ages of May and Ann was 45. Six years from now, twice Anne's age will be 28 years more than May's age then. How old is May now??
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = May's age now
Let a = Ann's age now
given:
(1) +a+-+4+%2B+m+-+4+=+45+
(2) +2%2A%28+a+%2B+6+%29+=+m+%2B+6+%2B+28+
----------------------------
(1) +a+-+4+%2B+m+-+4+=+45+
(1) +a+%2B+m+-+8+=+45+
(1) +a+%2B+m+=+53+
and
(2) +2%2A%28+a+%2B+6+%29+=+m+%2B+6+%2B+28+
(2) +2a+%2B+12++=+m+%2B+6+%2B+28+
(2) +2a+-+m+=+34+-+12+
(2) +2a+-+m+=+22+
-----------------
Add (1) and (2)
(1) +a+%2B+m+=+53+
(2) +2a+-+m+=+22+
+3a+=+75+
+a+=+25+
and, since
(1) +a+%2B+m+=+53+
(1) +25+%2B+m+=+53+
(1) +m+=+28+
May is 28 now
-----------------
check:
(2) +2a+-+m+=+22+
(2) +2%2A25+-+28+=+22+
(2) +50+-+28+=+22+
(2) +50+=+50+
OK