document.write( "Question 1194080: A number is totally even if all its digits are even for instance the number 2022 is totally even. How many four-digit totally even numbers X are there such that X+2022 is also totally even?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #826187 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A number is totally even if all its digits are even for instance the number 2022 is totally even.
\n" ); document.write( "How many four-digit totally even numbers X are there such that X+2022 is also totally even?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The units digit of our number should be and can be any of 0, 2, 4, 6  (four opportunities).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The tens  digit of our number should be and can be any of 0, 2, 4, 6  (four opportunities).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The hundreds digit of our number should be and can be any of 0, 2, 4, 6, 8  (five opportunities).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The thousands digit of our number should be and can be any of 2, 4, 6  (three opportunities).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, there are 4*4*5*3 = 16*15 = 240  such 4-digits totally even numbers, satisfying the condition.     ANSWER\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" );