document.write( "Question 1044419: Brandon is one year older than three times his brother’s age. The product\r
\n" ); document.write( "\n" ); document.write( "of their ages is 80. How old is Brandon’s brother?
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Algebra.Com's Answer #659702 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+y+\" = Brandon's age
\n" ); document.write( "Let \"+x+\" = his brother's age
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+y+=+3x+%2B+1+\"
\n" ); document.write( "(2) \"+y%2Ax+=+80+\"
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+%28+3x+%2B+1+%29%2Ax+=+80+\"
\n" ); document.write( "(2) \"+3x%5E2+%2B+x+-+80+=+0+\"
\n" ); document.write( "I'll use the quadratic formula
\n" ); document.write( "\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+1+\"
\n" ); document.write( "\"+c+=+-80+\"
\n" ); document.write( "--------------
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+1%5E2+-+4%2A3%2A%28-80%29+%29%29+%2F+%282%2A3%29+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+1+%2B+960+%29%29+%2F+6+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+961+%29%29+%2F+6+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B+31+%29+%2F+6+\"
\n" ); document.write( "\"+x+=+30%2F6+\"
\n" ); document.write( "\"+x+=+5+\"
\n" ); document.write( "--------------
\n" ); document.write( "Brandon's brother is 5 yrs old
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+y+=+3x+%2B+1+\"
\n" ); document.write( "(1) \"+y+=+3%2A5+%2B+1+\"
\n" ); document.write( "(1) \"+y+=+16+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+y%2Ax+=+80+\"
\n" ); document.write( "(2) \"+16%2A5+=+80+\"
\n" ); document.write( "(2) \"+80+=+80+\"
\n" ); document.write( "OK
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