SOLUTION: Mio is 17 years older than Yui. Ten years ago the sum of their ages was 21. How old are they now? Can you please show me the steps to solve this problem?

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Question 945933: Mio is 17 years older than Yui. Ten years ago the sum of their ages was 21. How old are they now?
Can you please show me the steps to solve this problem?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Mio's age now
Let +y+ = Yui's age now
-------------------------
(1) +m+=+y+%2B+17+
(2) +m+-+10+%2B+y+-+10+=+21+
-----------------------------
(2) +m+%2B+y+=+41+
and
(1) +m+-+y+=+17+
Add the equations:
-------------------
+2m+=+58+
+m+=+29+
and
(2) +29+%2B+y+=+41+
(2) +y+=+41+-+29+
(2) +y+=+12+
Mio is 29
Yui is 12
-----------
check:
(1) +m+-+y+=+17+
(1) +29+-+12+=+17+
(1) +17+=+17+
and
(2) +m+%2B+y+=+41+
(2) +29+%2B+12+=+41+
(2) +41+=+41+
OK