document.write( "Question 745446: The sum of a two digit number and the number obtained by interchanging the digits is 66. If the digits in the units place is 2 more than the digits in the tens place, find the number. \n" ); document.write( "
Algebra.Com's Answer #453902 by savvyhush23(50)\"\" \"About 
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The sum of a two digit number and the number obtained by interchanging the digits is 66. If the digits in the units place is 2 more than the digits in the tens place, find the number.\r
\n" ); document.write( "\n" ); document.write( "Let,
\n" ); document.write( "\"t+-+tens+place\"
\n" ); document.write( "\"u+-+unit+place\"\r
\n" ); document.write( "\n" ); document.write( "The two digit number is: \"10t+%2B+u\"
\n" ); document.write( "interchanging the digit becomes: \"10u+%2B+t\"\r
\n" ); document.write( "\n" ); document.write( "Their sum : \"%2810t+%2B+u%29+%2B+%2810u+%2B+t%29+=+66\"
\n" ); document.write( "\"11t+%2B+11u+=+66+\" equation (1)\r
\n" ); document.write( "\n" ); document.write( "...If the digits in the units place is 2 more than the digits in the tens place...
\n" ); document.write( "\"u+=+t+%2B+2\" equation (2)\r
\n" ); document.write( "\n" ); document.write( "Substitute (2) to (1);
\n" ); document.write( "\"11t+%2B+11%28t+%2B+2%29+=+66\", solving t = 2 and u = 4
\n" ); document.write( "Therefore, the number is \"10%282%29+%2B+%284%29=24\"
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