document.write( "Question 698134: Tom is 10 years old and his mother is 30 years old. In how many years will Tom's age be half that of his mother? \n" ); document.write( "

Algebra.Com's Answer #430454 by Stitch(470) $\"\"$ $\"About$

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$\"%2810%2BX%29%2F%2830%2BX%29+=+1%2F2\"$
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( " $\"2%2A%2810%2BX%29%2F%2830%2BX%29+=+1\"$
\n" ); document.write( "Multiply both sides by (30+X)
\n" ); document.write( " $\"2%2A%2810%2BX%29+=+30+%2B+X\"$
\n" ); document.write( "Simplify
\n" ); document.write( " $\"20+%2B+2X+=+30+%2B+X\"$
\n" ); document.write( "Subtract 20 from both sides
\n" ); document.write( " $\"2X+=+10+%2B+X\"$
\n" ); document.write( "Subtract X from both sides
\n" ); document.write( " $\"highlight%28X+=+10%29\"$
\n" ); document.write( "In 10 years Tom will be half of his mothers age. \n" ); document.write( "

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