document.write( "Question 992169: I am a number. There's a number to the right of me on the number line and when you double it, the answer is forty-eight.\r
\n" ); document.write( "\n" ); document.write( "There's a number exactly the same distance away from me on the left, and when you triple it, the answer is thirty-six.\r
\n" ); document.write( "\n" ); document.write( "What number am I?
\n" ); document.write( "

Algebra.Com's Answer #611796 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+n+\" = the unknown number
\n" ); document.write( "Let \"+n+%2B+k+\" = the number to the right on number line
\n" ); document.write( "Let \"+n+-+k+\" = the number to the left on number line
\n" ); document.write( "-------------------
\n" ); document.write( "Given:
\n" ); document.write( "(1) \"+2%2A%28+n%2B+k+%29+=+48+\"
\n" ); document.write( "(2) \"+3%2A%28+n+-+k+%29+=+36+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+2n+%2B+2k+=+48+\"
\n" ); document.write( "(2) \"+3n+-+3k+=+36+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Multiply both sides of (1) by \"+3+\"
\n" ); document.write( "Multiply both sides of (2) by \"+2+\"
\n" ); document.write( "Then add the equations
\n" ); document.write( "(1) \"+6n+%2B+6k+=+3%2A48+\"
\n" ); document.write( "(2) \"+6n+-+6k+=+2%2A36+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+12n+=+144+%2B+72+\"
\n" ); document.write( "\"+12n+=+216+\"
\n" ); document.write( "\"+n+=+18+\"
\n" ); document.write( "You are 18
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+2%2A%28+n%2B+k+%29+=+48+\"
\n" ); document.write( "(1) \"+2%2A%28+18%2B+k+%29+=+48+\"
\n" ); document.write( "(1) \"+36+%2B+2k+=+48+\"
\n" ); document.write( "(1) \"+2k+=+12+\"
\n" ); document.write( "(1) \"+k+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+3%2A%28+n+-+k+%29+=+36+\"
\n" ); document.write( "(2) \"+3%2A%28+18+-+k+%29+=+36+\"
\n" ); document.write( "(2) \"+54+-+3k+=+36+\"
\n" ); document.write( "(2) \"+3k+=+18+\"
\n" ); document.write( "(2) \"+k+=+6+\"
\n" ); document.write( "OK
\n" ); document.write( "
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