document.write( "Question 1112782: The sum of the digits of a two-digit number is 5. If the number is multiplied by 3 and 1 is taken from the result, the digits are reversed. Find the number. \n" ); document.write( "
Algebra.Com's Answer #727796 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be the tens digit and y be the one's digit \n" ); document.write( ": \n" ); document.write( "1) x +y = 5 \n" ); document.write( ": \n" ); document.write( "2) 3(10x +y) - 1 = 10y +x \n" ); document.write( ": \n" ); document.write( "solve equation 1 for y \n" ); document.write( ": \n" ); document.write( "y = 5 -x \n" ); document.write( ": \n" ); document.write( "substitute for y in equation 2 \n" ); document.write( ": \n" ); document.write( "3(10x +5 -x) -1 = 10(5 -x) +x \n" ); document.write( ": \n" ); document.write( "30x +15 -3x -1 = 50 -10x +x \n" ); document.write( ": \n" ); document.write( "27x +14 = 50 -9x \n" ); document.write( ": \n" ); document.write( "36x = 36 \n" ); document.write( ": \n" ); document.write( "************ \n" ); document.write( "x = 1 \n" ); document.write( "y = 5 -1 = 4 \n" ); document.write( ": \n" ); document.write( "the number is 14 \n" ); document.write( ": \n" ); document.write( "check the answer \n" ); document.write( ": \n" ); document.write( "3(14) -1 = 42 -1 = 41 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "************ \n" ); document.write( " |