document.write( "Question 546100: andy is twice as old as kate. in 6 years their ages with total 60. how old is each now? \n" ); document.write( "

Algebra.Com's Answer #355871 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = Andy's age now
\n" ); document.write( "Let $\"k\"$ = Kate's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+2k+\"$
\n" ); document.write( "(2) $\"+a+%2B+6+%2B+k+%2B+6+=+60+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+a+%2B+k+=+60+-+12+\"$
\n" ); document.write( "(2) $\"+a+%2B+k+=+48+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2k+%2B+k+=+48+\"$
\n" ); document.write( "(2) $\"+3k+=+48+\"$
\n" ); document.write( "(2) $\"+k+=+16+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+=+2k+\"$
\n" ); document.write( "(1) $\"+a+=+32+\"$
\n" ); document.write( "Andy is 32 and Kate is 16 \n" ); document.write( "

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