document.write( "Question 140778: a two-digit number is equal to 3 times the sum of its digits.if the number obtained by reversing the digits is divided by the original number, the quotient is 2 and the remainder is 1. Find the original number \n" ); document.write( "
Algebra.Com's Answer #102456 by stanbon(75887)\"\" \"About 
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a two-digit number is equal to 3 times the sum of its digits.
\n" ); document.write( "Eq.: 10t+u = 3(t+u)
\n" ); document.write( "Rearrange:
\n" ); document.write( "7t - 2u = 0
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\n" ); document.write( "\n" ); document.write( "if the number obtained by reversing the digits is divided by the original number, the quotient is 2 and the remainder is 1.
\n" ); document.write( "Eq.: (10u+t)/(10t+u) = 2 + 1/(10t+u)
\n" ); document.write( "Rearrange:
\n" ); document.write( "Multiply thru by 10t+u to get:
\n" ); document.write( "10u+t = 2(10t+u) + 1
\n" ); document.write( "10u+t = 20t+2u + 1
\n" ); document.write( "19t-8u=-1
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\n" ); document.write( "System:
\n" ); document.write( "7t-2u = 0
\n" ); document.write( "19t-8u= -1
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\n" ); document.write( "Using Matrix methods:
\n" ); document.write( "t =
\n" ); document.write( "u =
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\n" ); document.write( "I do not get whole number solutions for t and u.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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\n" ); document.write( "\n" ); document.write( " Find the original number.
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