document.write( "Question 180016: Find the two-digit number whose tens digit is 4 less than its units digit if the orignal number is 2 more than 3 times the sum of the digits. \n" ); document.write( "
Algebra.Com's Answer #134892 by ankor@dixie-net.com(22740)\"\" \"About 
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Find the two-digit number whose tens digit is 4 less than its units digit
\n" ); document.write( " if the original number is 2 more than 3 times the sum of the digits.
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\n" ); document.write( "Let x = 10s digit
\n" ); document.write( "Let y - units digit
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\n" ); document.write( "10x + y = the number
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\n" ); document.write( "the two-digit number whose tens digit is 4 less than its units digit\"
\n" ); document.write( "x = y - 4
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\n" ); document.write( "\"the original number is 2 more than 3 times the sum of the digits.\"
\n" ); document.write( "10x + y = 3(x+y) + 2
\n" ); document.write( "10x + y = 3x + 3y + 2
\n" ); document.write( "10x - 3x = 3y - y + 2
\n" ); document.write( "7x = 2y + 2
\n" ); document.write( "Replace x with (y-4), find y
\n" ); document.write( "7(y-4) = 2y + 2
\n" ); document.write( "7y - 28 = 2y + 2
\n" ); document.write( "7y - 2y = 2 + 28
\n" ); document.write( "5y = 30
\n" ); document.write( "y = 6
\n" ); document.write( "then
\n" ); document.write( "x = 6 - 4
\n" ); document.write( "x = 2
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\n" ); document.write( "The original number: 26
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"the original number is 2 more than 3 times the sum of the digits.\"
\n" ); document.write( "26 = 3(2+6) + 2
\n" ); document.write( "26 = 3(8) + 2; confirms our solution
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