document.write( "Question 32256: Pauline is 2 years younger than Shirley. Four years from now the sum of their ages will be 36. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #18776 by Cintchr(481) $\"\"$ $\"About$

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1. $\"+p%2B2+=+s+\"$
\n" ); document.write( "2. $\"+%28p%2B4%29+%2B+%28s%2B4%29+=+36+\"$
\n" ); document.write( "Substitute equation 1 into equation 2
\n" ); document.write( " $\"+%28p%2B4%29+%2B+%28%28p%2B2%29%2B4%29+=+36+\"$
\n" ); document.write( "combine like terms
\n" ); document.write( " $\"+2p+%2B+10+=+36+\"$
\n" ); document.write( "subtract 10
\n" ); document.write( " $\"+2p+=+26+\"$
\n" ); document.write( "divide by 2
\n" ); document.write( " $\"+p+=+13+\"$
\n" ); document.write( "Plug this back into the first equation
\n" ); document.write( " $\"+p%2B2+=+s+\"$
\n" ); document.write( " $\"+13%2B2+=+s+\"$
\n" ); document.write( " $\"+15+=+s+\"$ \r
\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( " $\"+%28p%2B4%29+%2B+%28s%2B4%29+=+36+\"$
\n" ); document.write( " $\"+%2813%2B4%29+%2B+%2815%2B4%29=+36+\"$
\n" ); document.write( " $\"+17+%2B+19+=+36+\"$
\n" ); document.write( " $\"+36+=+36+\"$
\n" ); document.write( "YES!!!
\n" ); document.write( " \n" ); document.write( "

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