document.write( "Question 1018192: Hi\r
\n" ); document.write( "\n" ); document.write( "jane is twice as old as carl and 4 times older than penny.owen is 2 years younger than penny.
\n" ); document.write( "how old is jane when the total of their ages is 70.\r
\n" ); document.write( "\n" ); document.write( "thanks \n" ); document.write( "

Algebra.Com's Answer #634390 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+p+\"$ = Penny's age
\n" ); document.write( "Let $\"+j+\"$ = Jane's age
\n" ); document.write( "Let $\"+o+\"$ = Owen's age
\n" ); document.write( "Let $\"+c+\"$ = Carl's age
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+j+=+2c+\"$
\n" ); document.write( "(2) $\"+j+=+4p+\"$
\n" ); document.write( "(3) $\"+o+=+p+-2+\"$
\n" ); document.write( "(4) $\"+j+%2B+c+%2B+p+%2B+o+=+70+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "There are 4 equations and 4 unknowns,
\n" ); document.write( "so it is solvable.
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+c+=+j%2F2+\"$
\n" ); document.write( "(2) $\"+p+=+j%2F4+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+o+=+p+-+2+\"$
\n" ); document.write( "(3) $\"+o+=+j%2F4+-+2+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Plug these results into (4)
\n" ); document.write( "(4) $\"+j+%2B+c+%2B+p+%2B+o+=+70+\"$
\n" ); document.write( "(4) $\"+j+%2B+j%2F2+%2B+j%2F4+%2Bj%2F4+-+2+=+70+\"$
\n" ); document.write( "(4) $\"+j+%2B+j%2F2+%2B+j%2F2+=+72+\"$
\n" ); document.write( "(4) $\"+2j+=+72+\"$
\n" ); document.write( "(4) $\"+j+=+36+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+c+=+j%2F2+\"$
\n" ); document.write( "(1) $\"+c+=+36%2F2+\"$
\n" ); document.write( "(1) $\"+c+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+p+=+j%2F4+\"$
\n" ); document.write( "(2) $\"+p+=+36%2F4+\"$
\n" ); document.write( "(2) $\"+p+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+o+=+j%2F4+-+2+\"$
\n" ); document.write( "(3) $\"+o+=9+-+2+\"$
\n" ); document.write( "(3) $\"+o+=+7+\"$
\n" ); document.write( "-------------------
\n" ); document.write( " Penny's age = 9
\n" ); document.write( " Jane's age = 36
\n" ); document.write( "Owen's age = 7
\n" ); document.write( "Carl's age = 18
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(4) $\"+j+%2B+c+%2B+p+%2B+o+=+70+\"$
\n" ); document.write( "(4) $\"+36+%2B+18+%2B+9+%2B+7+=+70+\"$
\n" ); document.write( "(4) $\"+70+=+70+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );