Question 1066342
{{{system(k=9+2h,abs(k-h)=16)}}}


Only one of the possible differences will work; not both of them.
{{{system(Either, k-h=16, OR, h-k=16)}}}.

Either h=k-16 OR  h=k+16;
NOT both.


{{{k=9+2(k-16)}}}, based on h=k-16,
{{{k=9+2k-32}}}
{{{32-9=k}}}
{{{k=23}}}
and continue finding h from this k,
{{{h=k-16}}}
{{{h=23-16}}}
{{{h=7}}}
-
Kayla is 23 and Hannah is 7.



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You should find that h-k=16 from the absolute value equation will not work in giving a good solution.
{{{k=9+2(k+16)}}} using h-k=16
{{{k=9+2k+32}}}
{{{0=k+32+9}}}
{{{k=-41}}}-------------not good.  A person's age must be non-negative.