document.write( "Question 945846: Nelson is twice as old as Charlie was four years ago. The sum of their ages now is thirty-four years. How old is each? Would you please show me the steps to solving this problem? \n" ); document.write( "

Algebra.Com's Answer #576958 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = Nelson's age now
\n" ); document.write( "Let $\"+c+\"$ = Charlie's age now
\n" ); document.write( " $\"+c+-+4+\"$ = Charlie's age 4 years ago
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+n+=+2%2A%28+c+-+4+%29+\"$
\n" ); document.write( "(2) $\"+n+%2B+c+=+34+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+n+=+2c+-+8+\"$
\n" ); document.write( "(1) $\"+-n+%2B+2c+=+8+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) $\"+n+%2B+c+=+34+\"$
\n" ); document.write( "(1) $\"+-n+%2B+2c+=+8+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+3c+=+42+\"$
\n" ); document.write( " $\"+c+=+14+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+=+2c+-+8+\"$
\n" ); document.write( "(1) $\"+n+=+2%2A14+-+8+\"$
\n" ); document.write( "(1) $\"+n+=+28+-+8+\"$
\n" ); document.write( "(1) $\"+n+=+20+\"$
\n" ); document.write( "Nelson is 20
\n" ); document.write( "Charlie is 14
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+n+%2B+c+=+34+\"$
\n" ); document.write( "(2) $\"+20+%2B+14+=+34+\"$
\n" ); document.write( "(2) $\"+34+=+34+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );