document.write( "Question 1054924: brian is twice his daughter's age plus 19 years. In 5 years Brian will be three times as old as she is. What is Brian's current age? \n" ); document.write( "

Algebra.Com's Answer #670121 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Brian's age now
\n" ); document.write( "Let $\"+b+\"$ = his daughter's age now
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+a+=+2b+%2B+19+\"$
\n" ); document.write( "(2) $\"+a+%2B+5+=+3%2A%28+b+%2B+5+%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+a+%2B+5+=+3b+%2B+15+\"$
\n" ); document.write( "(2) $\"+a+-+3b+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+-+2b+=+19+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+a+-+2b+=+19+\"$
\n" ); document.write( "(2) $\"+-a+%2B+3b+=+-10+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+b+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+2b+%2B+19+\"$
\n" ); document.write( "(1) $\"+a+=+2%2A9+%2B+19+\"$
\n" ); document.write( "(1) $\"+a+=+18+%2B+19+\"$
\n" ); document.write( "(1) $\"+a+=+37+\"$
\n" ); document.write( "Brian is 37
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+5+=+3%2A%28+b+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+37+%2B+5+=+3%2A%28+9+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+42+=+3%2A14+\"$
\n" ); document.write( "(2) $\"+42+=+42+\"$
\n" ); document.write( "OK \n" ); document.write( "

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