The LCM of two numbers is 24. Their GCF is 4. The numbers differ by 4. What are the numbers?
For $\displaystyle x,y>0$
We have,
$\displaystyle \gcd(x,y)\cdot \mbox{lcm}(x,y)=xy$
Thus,
$\displaystyle xy=4\cdot 24=96$
Und,
$\displaystyle x-y=4$
Now you can solve.