document.write( "Question 1163926: Find a two digit number such that three times the tens digit is 2 less than
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Algebra.Com's Answer #788169 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I won't do yours for you but I'll do one exactly like it, step by step. You\r\n" );
document.write( "can use it as a model to do yours by.\r\n" );
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document.write( "So instead of your problem, I'll do this one:\r\n" );
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\n" ); document.write( "Find a two digit number such that six times the tens digit is 8 less than
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document.write( "The tens digit is t\r\n" );
document.write( "The units digit is u\r\n" );
document.write( "The number is 10t+u\r\n" );
document.write( "The number obtained by reversing the digits is 10u+t\r\n" );
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document.write( "(1)   6t = 4u - 8\r\n" );
document.write( "(2)   3(10t+u) = (10t+u) + 23\r\n" );
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document.write( "Simplify the equation (2)\r\n" );
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document.write( "      30t + 3u = 10u + t + 23\r\n" );
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document.write( "Subtract 10u from both sides\r\n" );
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document.write( "      30t - 7u = t + 23\r\n" );
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document.write( "Subtract t from both sides\r\n" );
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document.write( "(3)   29t - 7u = 23\r\n" );
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document.write( "Now solve equation (1) for t\r\n" );
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document.write( "(1)   6t = 4u - 8\r\n" );
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document.write( "Divide both sides by 6\r\n" );
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document.write( "(4)      t = (4u-8)/6\r\n" );
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document.write( "Substitute in equation (3)\r\n" );
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document.write( "(3)    29t - 7u = 23  \r\n" );
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document.write( "29(4u-8)/6 - 7u = 23\r\n" );
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document.write( "Multiply through by 6\r\n" );
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document.write( " 29(4u-8) - 42u = 138 \r\n" );
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document.write( " 116u-232 - 42u = 138\r\n" );
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document.write( "      74u - 232 = 138\r\n" );
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document.write( "Add 232 to both sides\r\n" );
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document.write( "            74u = 370\r\n" );
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document.write( "Divide both sides by 74\r\n" );
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document.write( "              u = 5 \r\n" );
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document.write( "Substitute in equation (4)\r\n" );
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document.write( "(4)      t = (4u-8)/6\r\n" );
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document.write( "         t = [4(5)-8]/6\r\n" );
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document.write( "         t = [20-8]/6\r\n" );
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document.write( "         t = 12/6\r\n" );
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document.write( "         t = 2\r\n" );
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document.write( "So t = tens digit = first digit = 2\r\n" );
document.write( "and u = units digit = second digit = 5\r\n" );
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document.write( "So the two digit number is 25.\r\n" );
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document.write( "Now use this as a model to do yours by.\r\n" );
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document.write( "Edwin
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