document.write( "Question 1066342: kayla is 9 years older than twice hannah's age. if the difference in their ages is 16, how old is kayla? how old is hannah? jacob finds hannah's age to be 16 years. is he correct? \n" ); document.write( "
Algebra.Com's Answer #681516 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
\"system%28k=9%2B2h%2Cabs%28k-h%29=16%29\"\r
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\n" ); document.write( "\n" ); document.write( "Only one of the possible differences will work; not both of them.
\n" ); document.write( "\"system%28Either%2C+k-h=16%2C+OR%2C+h-k=16%29\".\r
\n" ); document.write( "\n" ); document.write( "Either h=k-16 OR h=k+16;
\n" ); document.write( "NOT both.\r
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\n" ); document.write( "\n" ); document.write( "\"k=9%2B2%28k-16%29\", based on h=k-16,
\n" ); document.write( "\"k=9%2B2k-32\"
\n" ); document.write( "\"32-9=k\"
\n" ); document.write( "\"k=23\"
\n" ); document.write( "and continue finding h from this k,
\n" ); document.write( "\"h=k-16\"
\n" ); document.write( "\"h=23-16\"
\n" ); document.write( "\"h=7\"
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\n" ); document.write( "Kayla is 23 and Hannah is 7.\r
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\n" ); document.write( "\n" ); document.write( "--
\n" ); document.write( "You should find that h-k=16 from the absolute value equation will not work in giving a good solution.
\n" ); document.write( "\"k=9%2B2%28k%2B16%29\" using h-k=16
\n" ); document.write( "\"k=9%2B2k%2B32\"
\n" ); document.write( "\"0=k%2B32%2B9\"
\n" ); document.write( "\"k=-41\"-------------not good. A person's age must be non-negative.
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