document.write( "Question 241607: Molly’s age is twice Anita’s. If the sum of the squares of their ages is 80, then translate these words into an algebraic equation to determine their ages? \n" ); document.write( "

Algebra.Com's Answer #176967 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"m+=+2a\"$
\n" ); document.write( " $\"m%5E2+%2B+a%5E2+=+80\"$
\n" ); document.write( "By substitution,
\n" ); document.write( " $\"%282a%29%5E2+%2B+a%5E2+=+80\"$
\n" ); document.write( " $\"4a%5E2+%2B+a%5E2+=+80\"$
\n" ); document.write( " $\"5a%5E2+=+80\"$
\n" ); document.write( " $\"a%5E2+=+16\"$
\n" ); document.write( " $\"a+=+4\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"m+=+2a\"$
\n" ); document.write( " $\"m+=+2%2A4\"$
\n" ); document.write( " $\"m+=+8\"$
\n" ); document.write( "Molly is 8 and Anita is 4 \n" ); document.write( "

\n" );