document.write( "Question 579482: The age difference between two brothers is 3 years. After 6 years the ratio between the age is 9:8
\n" ); document.write( "What are their ages? \n" ); document.write( "

Algebra.Com's Answer #371013 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the age of the younger brother now
\n" ); document.write( " $\"+a+%2B+3+\"$ = the age of the older brother now
\n" ); document.write( "--------
\n" ); document.write( "given:
\n" ); document.write( "In 6 years:
\n" ); document.write( " $\"+a+%2B+6+\"$ = the age of the younger brother
\n" ); document.write( " $\"+a+%2B+3+%2B+6+\"$ = the age of the older brother
\n" ); document.write( "--------
\n" ); document.write( " $\"+%28+a+%2B+9+%29+%2F+%28+a+%2B+6+%29+=+9%2F8+\"$
\n" ); document.write( "Multiply both sides by $\"+8%2A%28+a+%2B+6+%29+\"$
\n" ); document.write( " $\"+8%2A%28+a+%2B+9+%29+=+9%2A%28+a+%2B+6+%29+\"$
\n" ); document.write( " $\"+8a+%2B+72+=+9a+%2B+54+\"$
\n" ); document.write( " $\"+a+=+72+-+54+\"$
\n" ); document.write( " $\"+a+=+18+\"$
\n" ); document.write( " $\"+a+%2B+3+=+21+\"$
\n" ); document.write( "------------
\n" ); document.write( "The older brother is 21 now
\n" ); document.write( "The younger brother is 18 now
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+a+%2B+9+%29+%2F+%28+a+%2B+6+%29+=+9%2F8+\"$
\n" ); document.write( " $\"+%28+18+%2B+9+%29+%2F+%28+18+%2B+6+%29+=+9%2F8+\"$
\n" ); document.write( " $\"+27+%2F+24+=+9%2F8+\"$
\n" ); document.write( "Multiply both sides by $\"+8%2A24+\"$
\n" ); document.write( " $\"+8%2A27+=+24%2A9+\"$
\n" ); document.write( " $\"+216+=+216+\"$
\n" ); document.write( "OK \n" ); document.write( "

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