document.write( "Question 500741: my question is:
\n" ); document.write( "max and kay are cousins. the sum of their ages are 25. kay is two years less than twice the age of max. how old is max?\r
\n" ); document.write( "\n" ); document.write( "if you can please help me solve this i would be really grateful. if you have time can you please show the work cause i never understand these problems. thank you for your time \n" ); document.write( "

Algebra.Com's Answer #338266 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Max's age now
\n" ); document.write( "Let $\"+k+\"$ = Kay's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+m+%2B+k+=+25+\"$
\n" ); document.write( "(2) $\"+k+=+2m+-+2+\"$ ( Kay is two years less than twice the age of Max. )
\n" ); document.write( "----------------
\n" ); document.write( "This is 2 equations with 2 unknowns, so it's solvable
\n" ); document.write( "Subtract $\"+k+\"$ from both sides of (2)
\n" ); document.write( "(2) $\"+0+=+2m+-+k+-+2+\"$
\n" ); document.write( "Add $\"+2+\"$ to both sides of (2)
\n" ); document.write( "(2) $\"+2m+-+k+=+2+\"$
\n" ); document.write( "Now add equations (1) and (2)
\n" ); document.write( "(1) $\"+m+%2B+k+=+25+\"$
\n" ); document.write( "(2) $\"+2m+-+k+=+2+\"$
\n" ); document.write( " $\"+3m+=+27+\"$
\n" ); document.write( " $\"+m+=+9+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+m+%2B+k+=+25+\"$
\n" ); document.write( "(1) $\"+9+%2B+k+=+25+\"$
\n" ); document.write( "(1) $\"+k+=+16+\"$
\n" ); document.write( "Max is 9 \n" ); document.write( "

\n" );