document.write( "Question 547856: michelle's age is 10 years less than 5 times sarah's age. If the sum of their age is 44 years, find their ages. \n" ); document.write( "
Algebra.Com's Answer #356611 by mathie123(224)\"\" \"About 
You can put this solution on YOUR website!
Let M be michells age and S be sarah's age. From the question we can make up two equations:\r
\n" ); document.write( "\n" ); document.write( "\"5S-10=M\" (1)
\n" ); document.write( "\"S%2BM=44\" (2)\r
\n" ); document.write( "\n" ); document.write( "This is just a system of equations with two unknowns
\n" ); document.write( "Substituting (1) into (2) we get
\n" ); document.write( "\"S%2B%285S-10%29=44\"
\n" ); document.write( "\"6S-10=44\"
\n" ); document.write( "\"6S-10%2B10=44%2B10\"
\n" ); document.write( "\"6S=54\"
\n" ); document.write( "\"6S%2F6=54%2F6\"
\n" ); document.write( "\"S=9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now substituting this value back into (1) we get:
\n" ); document.write( "\"5%289%29-10=M\"
\n" ); document.write( "\"45-10=M\"
\n" ); document.write( "\"M=35\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So Michelle is 35 and Sarah is 9. Hopefully this helps:)
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