document.write( "Question 58381: The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages? \n" ); document.write( "

Algebra.Com's Answer #40005 by josmiceli(19441) $\"\"$ $\"About$

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d = Devon's age
\n" ); document.write( "j = Jamies age
\n" ); document.write( " $\"j+%2B+d+=+30\"$
\n" ); document.write( " $\"%28j+-+10%29%28d+-+10%29+=+24\"$
\n" ); document.write( " $\"jd+-10d+-10j+%2B+100+=+24\"$
\n" ); document.write( " $\"j%2830+-+j%29+-+10%2830+-+j%29+-+10j+%2B+76+=+0\"$
\n" ); document.write( " $\"30j+-+j%5E2+-+300+%2B+10j+-+10j+%2B+76+=+0\"$
\n" ); document.write( " $\"-j%5E2+%2B+30j+-+224+=+0\"$
\n" ); document.write( "use the formula
\n" ); document.write( " $\"j+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"j+=+%28-30+%2B-+sqrt%28+30%5E2-4%2A%28-1%29%2A%28-224%29+%29%29%2F%282%2A%28-1%29%29+\"$
\n" ); document.write( " $\"j+=+%28-30+%2B-+sqrt%28+900+-+896+%29%29%2F+-2+\"$
\n" ); document.write( " $\"j+=+%28-30+%2B-+sqrt%28+4+%29%29%2F+-2+\"$
\n" ); document.write( " $\"j+=+%28-30+%2B-+2%29%2F+-2+\"$
\n" ); document.write( " $\"j+=+15+%2B-+1\"$
\n" ); document.write( "j = 16,14
\n" ); document.write( " $\"j+%2B+d+=+30\"$
\n" ); document.write( "if j = 16, then d = 14
\n" ); document.write( "if j = 14, then d = 16
\n" ); document.write( "The problem said Jamie was younger than Devon, so
\n" ); document.write( "Jamie is 14 and Devon is 16 \n" ); document.write( "

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