document.write( "Question 1070352: The product of two numbers is 12. The sum of the larger number and twice the smaller number is 11. Find the two numbers.
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Algebra.Com's Answer #691120 by jorel1380(3719) $\"\"$ $\"About$

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Let m and n be the two numbers. Then:
\n" ); document.write( "2m+n=11
\n" ); document.write( "n=11-2m
\n" ); document.write( "m(11-2m)=12
\n" ); document.write( "11m-2m²=12
\n" ); document.write( "2m²-11m+12=0
\n" ); document.write( "(2m-3)(m-4)=0
\n" ); document.write( "m=3/2 or 4
\n" ); document.write( "Since 11-2(4)=3, then m must be 3/2, and n must be 8. ☺☺☺☺\r
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