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 #134891 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
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( ":
\n" ); document.write( "let the two digit number be ab--->remembering that ab = 10a+b
\n" ); document.write( ":
\n" ); document.write( "a=b-4............eq 1
\n" ); document.write( "10a+b=3(a+b)+2......eq 2
\n" ); document.write( ":
\n" ); document.write( "take a's value in eq 1 and plug it into eq 2
\n" ); document.write( "10(b-4)+b=3(b-4)+3b+2
\n" ); document.write( ":
\n" ); document.write( "10b-40+b=3b-12+3b+2
\n" ); document.write( ":
\n" ); document.write( "5b=30
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28b=6%29\"$ units digit
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28a=6-4=2%29\"$ tens unit
\n" ); document.write( ":
\n" ); document.write( "number is 26 \n" ); document.write( "

\n" );