document.write( "Question 911558: Mary's aunt is twice as old as Mary. In twenty years her age will be two years more than three times Mary's present age. What is the aunts present age? \n" ); document.write( "

Algebra.Com's Answer #553274 by KMST(5328) $\"\"$ $\"About$

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$\"m\"$ = Mary's present age
\n" ); document.write( " $\"2m\"$ = Mary's aunt present age
\n" ); document.write( "In 20 years, Mary's aunt will be $\"2m%2B20\"$ years old.
\n" ); document.write( "The problem says that at that time Mary's aunt will be two years more than three times Mary's present age, so she will be $\"3m%2B2\"$ years old.
\n" ); document.write( "So, $\"3m%2B2=2m%2B20\"$ is the equation to solve.
\n" ); document.write( " $\"3m%2B2=2m%2B20\"$
\n" ); document.write( " $\"3m=2m%2B20-2\"$
\n" ); document.write( " $\"3m-2m=18\"$
\n" ); document.write( " $\"m=18\"$
\n" ); document.write( "So Mary is 18 years old, and her aunt is
\n" ); document.write( " $\"2m=2%2A18=highlight%2836%29\"$ years old.
\n" ); document.write( "The aunt's present age is $\"highlight%2836%29\"$ .
\n" ); document.write( "
\n" ); document.write( "CHECKING:
\n" ); document.write( "Two years more than three times Mary's present age is $\"3%2A18%2B2=54%2B2=56\"$
\n" ); document.write( "In 20 years Mary's aunt will be 20 years more than now,
\n" ); document.write( "so it will be $\"36%2B20=56\"$ ,
\n" ); document.write( "which is exactly the same number as for two years more than three times Mary's present age. \n" ); document.write( "

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