document.write( "Question 54023This question is from textbook Algebra Structure and Method
\n" ); document.write( ": Section title is Puzzle Problems.\r
\n" ); document.write( "\n" ); document.write( "A number between 300 and 400 is forty times the sum of its digits. The tens digit is 6 more than the unit digit. find the number. Found the answer as 360, but can't figure out all of the steps
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Algebra.Com's Answer #36276 by Nate(3500)\"\" \"About 
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Number ~> a b c
\n" ); document.write( "a = 3 because 300 < a < 400
\n" ); document.write( "3 b c
\n" ); document.write( "300 + 10b + c = 40(3 + b + c)
\n" ); document.write( "300 + 10b + c = 120 + 40b + 40c
\n" ); document.write( "180 = 30b + 39c
\n" ); document.write( "and ~>
\n" ); document.write( "b = c + 6
\n" ); document.write( "plug ~>
\n" ); document.write( "180 = 30(c + 6) + 39c
\n" ); document.write( "180 = 30c + 180 + 39c
\n" ); document.write( "0 = 69c
\n" ); document.write( "0 = c
\n" ); document.write( "plug ~>
\n" ); document.write( "b = c + 6
\n" ); document.write( "b = 0 + 6 = 6
\n" ); document.write( "Number ~> 360
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