document.write( "Question 1125348: The sum of the ages of Bryce and Sonya is 72 years old. 6 years ago, Bryce’s age was 3 times Sonya’s age. How old is Bryce now? \n" ); document.write( "

Algebra.Com's Answer #741660 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Bryce’s age now
\n" ); document.write( "Let $\"+b+\"$ = Sonya’s age now
\n" ); document.write( "———————————————-
\n" ); document.write( "(1) $\"+a+%2B+b+=+72+\"$
\n" ); document.write( "(2) $\"+a+-+6+=+3%2A%28+b+-+6+%29+\"$
\n" ); document.write( "——————————————
\n" ); document.write( "(2) $\"+a+-+6+=+3b+-+18+\"$
\n" ); document.write( "(2) $\"+a+-+3b+=+-12+\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+a+%2B+b+=+72+\"$
\n" ); document.write( "(2) $\"+-a+%2B+3b+=+12+\"$
\n" ); document.write( "—————————————
\n" ); document.write( " $\"+4b+=+84+\"$
\n" ); document.write( " $\"+b+=+21+\"$
\n" ); document.write( "And
\n" ); document.write( "(1) $\"+a+%2B+21+=+72+\"$
\n" ); document.write( "(1) $\"+a+=+51+\"$
\n" ); document.write( "Bryce is 51 now
\n" ); document.write( "——————————-
\n" ); document.write( "Check:
\n" ); document.write( "(2) $\"+a-+6+=+3%2A%28+b+-+6+%29+\"$
\n" ); document.write( "(2) $\"+51+-+6+=+3%2A%28+21+-+6+%29+\"$
\n" ); document.write( "(2) $\"+45+=+3%2A15+\"$
\n" ); document.write( "(2) $\"+45+=+45+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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