document.write( "Question 995473: In a 3 digit number the tens digits is thrice the unit digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number? \n" ); document.write( "

Algebra.Com's Answer #614218 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+u+\"$ = units digit
\n" ); document.write( "Let $\"+t+\"$ = tens digit
\n" ); document.write( "Let $\"+h+\"$ = hundreds digit
\n" ); document.write( "------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+t+=+3u+\"$
\n" ); document.write( "(2) $\"+h+=+4u+\"$
\n" ); document.write( "(3) $\"+u+%2B+t+%2B+h+=+16+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+u+%2B++3u+%2B+4u+=+16+\"$
\n" ); document.write( "(3) $\"+8u+=+16+\"$
\n" ); document.write( "(3) $\"+u+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+t+=+3u+\"$
\n" ); document.write( "(1) $\"+t+=+3%2A2+\"$
\n" ); document.write( "(1) $\"+t+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+h+=+4u+\"$
\n" ); document.write( "(2) $\"+h+=+4%2A2+\"$
\n" ); document.write( "(2) $\"+h+=+8+\"$
\n" ); document.write( "--------------
\n" ); document.write( "The number is:
\n" ); document.write( "862 \n" ); document.write( "

\n" );