What does "Points on the hyperbola is $x$ units close to one focus than the other" mean?

Question

Find the equation of the hyperbola

Foci $(13,0), (-13,0)$
Points on the hyperbola are $24$ units close to one focus than the other.

I am not sure what "Points on the hyperbola are 24 units close to one focus than the other." means.

Answer 1

Can you see the foci $ (13-12= c-a=1) $ unit inside the nose? for the hyperbola: $$ {\left(\dfrac{x}{12}\right)}^2-{\left(\dfrac{y}{5}\right)}^2=1?$$

The asymptote line is $PR$

Answer 2

$c=\text{distance from focus to center}=13$

$\displaystyle a={1\over2}\text{difference of distances from foci of any point}=12$

$b=\sqrt{c^2-a^2}=\sqrt{13^2-12^2}=5$