document.write( "Question 503211: i am a 4-digit number. all of my digits are even numbers. the sum of my ones and tens digits is 8. my hundreds and ones digits are both 4. the sum of my digits is 18. what number am i? \n" ); document.write( "

Algebra.Com's Answer #339124 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the digits be a,b,c, and d in descending order
\n" ); document.write( "so that d is the units digit
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+%2B+c+=+8+\"$
\n" ); document.write( "(2) $\"+b+=+4+\"$
\n" ); document.write( "(3) $\"+d+=+4+\"$
\n" ); document.write( "(4) $\"+a+%2B+b+%2B+c+%2B+d+=+18+\"$
\n" ); document.write( "--------------------
\n" ); document.write( " $\"+a+%2B+4+%2B+c+%2B+4+=+18+\"$
\n" ); document.write( " $\"+a+%2B+c+%2B+8+=+18+\"$
\n" ); document.write( " $\"+a+%2B+c+=+10+\"$
\n" ); document.write( "Subtract (1) from this result
\n" ); document.write( " $\"+a+%2B+c+=+10+\"$
\n" ); document.write( " $\"+-d+-+c+=+-8+\"$
\n" ); document.write( " $\"+a+-+d+=+2+\"$
\n" ); document.write( " $\"+a+-+4+=+2+\"$
\n" ); document.write( " $\"+a+=+6+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+a+%2B+c+=+10+\"$
\n" ); document.write( " $\"+6+%2B+c+=+10+\"$
\n" ); document.write( " $\"+c+=+4+\"$
\n" ); document.write( "The number is 6444 \n" ); document.write( "

\n" );