document.write( "Question 150410This question is from textbook Word Problems Demystified
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document.write( ": In a two-digit number, the ten's digit is 3 more than the one's digit. If the digits are reversed, the difference between the two numbers is 27. Find the number. \n" );
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Algebra.Com's Answer #110366 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a two-digit number, the ten's digit is 3 more than the one's digit. If the digits are reversed, the difference between the two numbers is 27. Find the number. \n" ); document.write( "-------------- \n" ); document.write( "Let the number be 10t + u where t is the tens digit and u is the units digit. \n" ); document.write( "------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "t = u+3 \n" ); document.write( "(10t+u)-(10u+t) = 27 \n" ); document.write( "---------------------- \n" ); document.write( "Rearrange: \n" ); document.write( "t - u = 3 \n" ); document.write( "9t - 9u = 27 \n" ); document.write( "---------------- \n" ); document.write( "Simplify: \n" ); document.write( "t - u = 3 \n" ); document.write( "t - u = 3 \n" ); document.write( " ----------------- \n" ); document.write( "solution: t = u+3 \n" ); document.write( "The number is 30 or 41, or 52, or 63, 74, 85, 96 \n" ); document.write( "--------- \n" ); document.write( "All these numbers are correct answers. \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |