document.write( "Question 1165899: Three times the tens digit of a certain 2-digit number is 2 more than four times the units digit.
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Algebra.Com's Answer #790371 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Instead of doing it for you, I'll do one exactly like yours step by step:\r\n" );
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\n" ); document.write( "Five times the tens digit of a certain 2-digit number is 3 more than eight times the units digit.
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\n" ); document.write( "six less than three times the sum of the digits. Find the number.
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document.write( "t = the tens digit\r\n" );
document.write( "u = the units digit\r\n" );
document.write( "10t+u = the number\r\n" );
document.write( "10u+t = the number obtained by reversing the digits.\r\n" );
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document.write( "Simplify the second equation\r\n" );
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document.write( "10t + u - (10u + t) = 3(t + u) - 6\r\n" );
document.write( "  10t + u - 10u - t = 3t + 3u - 6\r\n" );
document.write( "            9t - 9u = 3t + 3u - 6\r\n" );
document.write( "           6t - 12u = -6\r\n" );
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document.write( "Divide through by 6\r\n" );
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document.write( "             t - 2u = -1\r\n" );
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document.write( "Solve for t\r\n" );
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document.write( "                  t = 2u - 1\r\n" );
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document.write( "Substitute in \r\n" );
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document.write( "       5t = 8u + 3\r\n" );
document.write( "5(2u - 1) = 8u + 3\r\n" );
document.write( "  10u - 5 = 8u + 3\r\n" );
document.write( "       2u = 8\r\n" );
document.write( "        u = 4\r\n" );
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document.write( "Substitute in \r\n" );
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document.write( "        t = 2u - 1\r\n" );
document.write( "        t = 2(4) - 1\r\n" );
document.write( "        t = 8 - 1\r\n" );
document.write( "        t = 7\r\n" );
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document.write( "The number is 74.\r\n" );
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document.write( "Now use this as a model to solve yours by.\r\n" );
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document.write( "Edwin

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