document.write( "Question 1105782: Find the ages of Marry, George, Alice, Claire and Stephen if :
\n" ); document.write( "Marry + George = 33 years between them
\n" ); document.write( "Alice + Claire = 95 years between them
\n" ); document.write( "Stephen + Marry= 72 years between them
\n" ); document.write( "Marry + Claire = 87 years between them
\n" ); document.write( "Stephen + George = 73 years between them
\n" ); document.write( "plz Details solution of problem
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #720672 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
You give a \"+\" and then said, \"... years between them.\" This seems contradictory. If you mean SUM on both sides, then\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28m%2Bg=33%2Ca%2Bc=95%2Cs%2Bm=72%2Cm%2Bc=87%2Cs%2Bg=73%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Five linear equations in five unknown age variables. You can cut down to one equation in one variable through successive substitutions and simplifications.\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"m=33-g\"
\n" ); document.write( "-
\n" ); document.write( "\"a%2Bc=95%2Cs%2B33-g=72%2C33-g%2Bc=87%2Cs%2Bg=73\"\r
\n" ); document.write( "\n" ); document.write( "\"system%28a%2Bc=95%2Cs-g=39%2Cg%2Bc=87%2Cs%2Bg=73%29\"\r
\n" ); document.write( "\n" ); document.write( "Notice two equations sum of s and g, and difference of s and g.
\n" ); document.write( "\"2s=39%2B73\"
\n" ); document.write( "\"2s=112\"
\n" ); document.write( "\"highlight%28s=56%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Revise system:
\n" ); document.write( "\"system%28a%2Bc=95%2Cg=56-39%2Cg%2Bc=87%2Cg=73-56%29\"\r
\n" ); document.write( "\n" ); document.write( "\"system%28a%2Bc=95%2Cg=17%2Cg%2Bc=87%2Cg=17%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28g=17%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Look at what is still unknown:
\n" ); document.write( "\"system%28a%2Bc=95%2Cg%2Bc=87%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=87-g\"
\n" ); document.write( "\"c=87-17\"
\n" ); document.write( "\"highlight%28c=70%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Last equation in that system:
\n" ); document.write( "\"a%2Bc=95\"
\n" ); document.write( "\"a=95-70\"
\n" ); document.write( "\"highlight%28a=25%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The first substitution made was \"m=33-g\".
\n" ); document.write( "\"m=33-17\"
\n" ); document.write( "\"highlight%28m=16%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "RESULTS
\r\n" );
document.write( "Marry, George, Alice, Claire and Stephen\r\n" );
document.write( "16,   17,     \"cross%2825%29\",     \"cross%2870%29\",    and    56\r\n" );
document.write( "

\n" ); document.write( "Alice should be 24 and Claire should be 71.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(Possible Mistake in Worked Steps)
\n" ); document.write( "
\n" );