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
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #599448 by Boreal(15235)\"\" \"About 
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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
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\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
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