document.write( "Question 1044736: Mary is twice as old as Todd. In 8 years, their ages will total 70. How old is each now? \n" ); document.write( "

Algebra.Com's Answer #660091 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = Mary's age now
\n" ); document.write( "Let $\"+t+\"$ = Todd's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+m+=+2t+\"$
\n" ); document.write( "(2) $\"+m%2B+8+%2B+t+%2B+8+=+70+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+m+%2B+t+%2B+16+=+70+\"$
\n" ); document.write( "(2) $\"+m+%2B+t+=+54+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "substitute (1) into (2)
\n" ); document.write( "(2) $\"+2t+%2B+t+=+54+\"$
\n" ); document.write( "(2) $\"+3t+=+54+\"$
\n" ); document.write( "(2) $\"+t+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+2t+\"$
\n" ); document.write( "(1) $\"+m+=+2%2A18+\"$
\n" ); document.write( "(1) $\"+m+=+36+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Mary is 36
\n" ); document.write( "Todd is 18
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+m+%2B+t+%2B+16+=+70+\"$
\n" ); document.write( "(2) $\"+36+%2B+18+%2B+16+=+70+\"$
\n" ); document.write( "(2) $\"+36+%2B+34+=+70+\"$
\n" ); document.write( "(2) $\"+70+=+70+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );