document.write( "Question 945933: Mio is 17 years older than Yui. Ten years ago the sum of their ages was 21. How old are they now?
\n" ); document.write( "Can you please show me the steps to solve this problem? \n" ); document.write( "

Algebra.Com's Answer #577038 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Mio's age now
\n" ); document.write( "Let $\"+y+\"$ = Yui's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+m+=+y+%2B+17+\"$
\n" ); document.write( "(2) $\"+m+-+10+%2B+y+-+10+=+21+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) $\"+m+%2B+y+=+41+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+-+y+=+17+\"$
\n" ); document.write( "Add the equations:
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+2m+=+58+\"$
\n" ); document.write( " $\"+m+=+29+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+29+%2B+y+=+41+\"$
\n" ); document.write( "(2) $\"+y+=+41+-+29+\"$
\n" ); document.write( "(2) $\"+y+=+12+\"$
\n" ); document.write( "Mio is 29
\n" ); document.write( "Yui is 12
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+m+-+y+=+17+\"$
\n" ); document.write( "(1) $\"+29+-+12+=+17+\"$
\n" ); document.write( "(1) $\"+17+=+17+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+m+%2B+y+=+41+\"$
\n" ); document.write( "(2) $\"+29+%2B+12+=+41+\"$
\n" ); document.write( "(2) $\"+41+=+41+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );