document.write( "Question 299748: a number is two times as large as another number. Three times the smaller number is twenty more than the larger number. what are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #215285 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the smaller number
\n" ); document.write( "Let $\"b\"$ = the larger number
\n" ); document.write( "given:
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"3a+=+b+%2B+20\"$
\n" ); document.write( "-----------
\n" ); document.write( "By substitution,
\n" ); document.write( " $\"3a+=+2a+%2B+20\"$
\n" ); document.write( "subtract $\"2a\"$ from both sides
\n" ); document.write( " $\"a+=+20\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"b+=+2%2A20\"$
\n" ); document.write( " $\"b+=+40\"$
\n" ); document.write( "The numbers are 20 and 40
\n" ); document.write( "check:
\n" ); document.write( " $\"3a+=+b+%2B+20\"$
\n" ); document.write( " $\"3%2A20+=+40+%2B+20\"$
\n" ); document.write( " $\"60+=+60\"$
\n" ); document.write( "OK \n" ); document.write( "

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