document.write( "Question 190869This question is from textbook Alegbra Structure and Method
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document.write( ": When the digits of a two-digits number are reversed, the new number is 36 more than the original number. The units digits is twice the tens digit. What is the original number? \n" );
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Algebra.Com's Answer #143335 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! When the digits of a two-digits number are reversed, the new number is 36 more \n" ); document.write( " than the original number. The units digits is twice the tens digit. \n" ); document.write( " What is the original number? \n" ); document.write( ": \n" ); document.write( "Let x = original 10's digit \n" ); document.write( "Let y = original units \n" ); document.write( "10x + y = original number \n" ); document.write( ": \n" ); document.write( "\"When the digits of a two-digits number are reversed, the new number is 36 more than the original number.\" \n" ); document.write( "10y + x = 10x + y + 36 \n" ); document.write( "10y - y = 10x - x = 36 \n" ); document.write( "9y = 9x + 36 \n" ); document.write( "Simplify divide by 9 \n" ); document.write( "y = x + 4 \n" ); document.write( ": \n" ); document.write( "\" The units digits is twice the tens digit.\" \n" ); document.write( "y = 2x \n" ); document.write( ": \n" ); document.write( "Substitute; \n" ); document.write( "2x = x + 4 \n" ); document.write( "x = 4, then y = 8 \n" ); document.write( "; \n" ); document.write( " What is the original number? It's 48 \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution 84 = 48 + 36 \n" ); document.write( " |