document.write( "Question 977943: The sum of the digits of a certain two-digit number is 8. Reversing its digits decreases the number by 36. What is the number?\r
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document.write( "A plane traveled 720 miles to Tokyo and back. The trip there was with the wind. It took 6 hours. The trip back was into the wind. The trip back took 12 hours. Find the speed of the plane in still air and the speed of the wind. \n" );
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Algebra.Com's Answer #599448 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x is the tens digit \n" ); document.write( "y is the ones digit\r \n" ); document.write( "\n" ); document.write( "10x+y is the number and 10y+x is the reverse\r \n" ); document.write( "\n" ); document.write( "10x+y-36=10y+x \n" ); document.write( "9x-36=9y \n" ); document.write( "9x=9y+36 \n" ); document.write( "x=y+4\r \n" ); document.write( "\n" ); document.write( "x+y=8 \n" ); document.write( "y+4+y=8 by substitution \n" ); document.write( "2y=4 \n" ); document.write( "y=2 \n" ); document.write( "x=6\r \n" ); document.write( "\n" ); document.write( "62-36=26 \n" ); document.write( "========================================= \n" ); document.write( "120 mph average on the way there, which is x+y \n" ); document.write( "60 mph average on the way back, which is x-y \n" ); document.write( "x+y=120 \n" ); document.write( "x-y=60 \n" ); document.write( "2x=180 \n" ); document.write( "x=90 mph of plane in still air \n" ); document.write( "y=30 mph of wind\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |