document.write( "Question 133637:
\n" );
document.write( "I am thinking of 3 consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. What are the numbers? \n" );
document.write( "
Algebra.Com's Answer #97788 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! let x, x+1 & x+2 be the 3 consecutive numbers. \n" ); document.write( "x(x+2)+(x+1)=41 \n" ); document.write( "x^2+2x+x+1=41 \n" ); document.write( "x^2+3x+1-41=0 \n" ); document.write( "x^2+3x-40=0 \n" ); document.write( "(x+8)(x-5)=0 \n" ); document.write( "x-5=0 \n" ); document.write( "x=5 answer for the smaller number \n" ); document.write( "5+1=6 for the next number \n" ); document.write( "5+2=7for the largest number \n" ); document.write( "proof \n" ); document.write( "5*7+6=41 \n" ); document.write( "35+6=41 \n" ); document.write( "41=41 \n" ); document.write( " |