document.write( "Question 146921: The units' digit of a two-digit numeral is 5 more than the tens' digit. The number is 3 times the sum of its digits. Find the numeral. \n" ); document.write( "

Algebra.Com's Answer #107293 by Nate(3500) $\"\"$ $\"About$

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Number: 10x + y
\n" ); document.write( "The units' digit of a two-digit numeral is 5 more than the tens' digit.
\n" ); document.write( "y = 5 + x
\n" ); document.write( "The number is 3 times the sum of its digits.
\n" ); document.write( "10x + y = 3(x + y)
\n" ); document.write( "10x + y = 3x + 3y
\n" ); document.write( "7x - 2y = 0
\n" ); document.write( "Substitute:
\n" ); document.write( "7x - 2y = 0
\n" ); document.write( "7x - 2(5 + x) = 0
\n" ); document.write( "7x - 10 - 2x = 0
\n" ); document.write( "5x = 10
\n" ); document.write( "x = 2
\n" ); document.write( "Substitute:
\n" ); document.write( "y = 5 + x
\n" ); document.write( "y = 5 + 2
\n" ); document.write( "y = 7
\n" ); document.write( "Number: 10x + y = 10*2 + 7 = 27 \n" ); document.write( "

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