document.write( "Question 859986: Yesterday one kitten was 4 times the age of another kitten. Today the sum of their ages is 10 days. How old are the two kittens today? \n" ); document.write( "

Algebra.Com's Answer #518090 by josmiceli(19441) $\"\"$ $\"About$

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Let their ages today be $\"+a+\"$ and $\"+b+\"$ days
\n" ); document.write( "Let $\"+a+\"$ be the older kitten
\n" ); document.write( "--------------------------
\n" ); document.write( "Yesterday their ages were $\"+a+-+1+\"$ days
\n" ); document.write( "and $\"+b+-+1+\"$ days
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+a+-+1+=+4%2A%28+b+-+1+%29+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+a+-+1+=+4b+-+4+\"$
\n" ); document.write( "(1) $\"+-a+%2B+4b+=+3+\"$
\n" ); document.write( "Add equations (1) and (2)
\n" ); document.write( "(1) $\"+-a+%2B+4b+=+3+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( " $\"+5b+=+13+\"$
\n" ); document.write( " $\"+b+=+13%2F5+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+13%2F5+=+10+\"$
\n" ); document.write( "(2) $\"+a+=+50%2F5+-+13%2F5+\"$
\n" ); document.write( "(2) $\"+a+=+37%2F5+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Their ages are 7.4 days and 2.6 days
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+-+1+=+4%2A%28+b+-+1+%29+\"$
\n" ); document.write( "(1) $\"+37%2F5+-+1+=+4%2A%28+13%2F5+-+1+%29+\"$
\n" ); document.write( "(1) $\"+32%2F5+=+4%2A%28+8%2F5+%29+\"$
\n" ); document.write( "(1) $\"+32%2F5+=+32%2F5+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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