document.write( "Question 551146: The value of a certain two digit number is 4 more than six times the sum of it's digits. If the digits are reversed, the resulting number is 18 less than the original number. What is the original number? Please hel \n" ); document.write( "
Algebra.Com's Answer #359468 by lwsshak3(11628)\"\" \"About 
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The value of a certain two digit number is 4 more than six times the sum of it's digits. If the digits are reversed, the resulting number is 18 less than the original number. What is the original number?
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\n" ); document.write( "let t=ten's digit
\n" ); document.write( "let u=unit's digit
\n" ); document.write( "original 2-digit number=10t+u
\n" ); document.write( "10t+u=6(t+u)+4 (two digit number is 4 more than six times the sum of it's digits)
\n" ); document.write( "10t+u=6t+6u+4
\n" ); document.write( "10t+u=10u+t+18 (digits are reversed, the resulting number is 18 less than the original number)
\n" ); document.write( "..
\n" ); document.write( "4t-5u=4
\n" ); document.write( "9t-9u=18
\n" ); document.write( "..
\n" ); document.write( "36t-45u=36
\n" ); document.write( "36t-36u=72
\n" ); document.write( "-9u=-36
\n" ); document.write( "u=4
\n" ); document.write( "4t-5u=4
\n" ); document.write( "4t=24
\n" ); document.write( "t=6
\n" ); document.write( "original number=64 \n" ); document.write( "
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