document.write( "Question 1164151: How to find the number? The units digit of a two-digit number is three more
\n" ); document.write( "than the tens digit.The number is equal to four times the sum of the digits. Find the number. (Hint: We can represent a two digit number as 10t+u.) \n" ); document.write( "

Algebra.Com's Answer #788441 by ikleyn(52872) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "how to find the number?the units digit of a two-digit number is three more than the tens digit.
\n" ); document.write( "The number is equal to four times the $\"highlight%28cross%28sun%29%29\"$ sum of the digits.Find the number.
\n" ); document.write( "(Hint:we can represent a two digit number as 10r+u.)
\n" ); document.write( "~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Following to the hint, we write \r\n" );
document.write( "\r\n" );
document.write( "    N = 10r + u.         (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We are given that  \r\n" );
document.write( "\r\n" );
document.write( "    u = r+3              (2)\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "    N = 4*(r + u).       (3)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Replace N in the left side of (3) by 10r + u, according to (1).\r\n" );
document.write( "\r\n" );
document.write( "    10r + u = 4r + 4u.    (4)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Replace \"u\" in both sides of (4) by (r+3), based on (2).  You will get then\r\n" );
document.write( "\r\n" );
document.write( "    10r + (r+3) = 4r + 4*(r+3).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplfy and find \"r\"\r\n" );
document.write( "\r\n" );
document.write( "    10r + r + 3 = 4r + 4r + 12\r\n" );
document.write( "\r\n" );
document.write( "    11r + 3 = 8r + 12\r\n" );
document.write( "\r\n" );
document.write( "     11r - 8r = 12 - 3\r\n" );
document.write( "\r\n" );
document.write( "     3r       = 9\r\n" );
document.write( "\r\n" );
document.write( "      r       = 9/3 = 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus r = 3  and  u = r+3 = 3+3 = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the number is  10r+u = 10*3 + 6 = 36.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The number is 36.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );