document.write( "Question 551133: The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? Please help me solve this!! \n" ); document.write( "
Algebra.Com's Answer #359446 by ankor@dixie-net.com(22740)\"\" \"About 
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The value of a certain two digit number is 2 times the sum of it's digits.
\n" ); document.write( " If the digits are reversed, the resulting number is 4.5 times the original number.
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\n" ); document.write( "Let a = the 10's digit
\n" ); document.write( "Let b = the units digit
\n" ); document.write( "then 10a + b = the original number
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\n" ); document.write( "\"the value of a two digit number is 2 times the sum of it's digits.\"
\n" ); document.write( "10a + b = 2(a + b)
\n" ); document.write( "10a + b = 2a + 2b
\n" ); document.write( "10a - 2a = 2b - b
\n" ); document.write( "8a = b
\n" ); document.write( "Pretty obvious, the only value that a can be is 1, to give a single digit value for b
\n" ); document.write( "18 is the original number
\n" ); document.write( ":
\n" ); document.write( "\"If the digits are reversed, the resulting number is 4.5 times the original number.\"
\n" ); document.write( "81 = 4.5(18)
\n" ); document.write( "81 = 81\r
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