1. **State the problem:**
Marko originally filled out 8 more applications than Henry.
After each filled out 3 more applications, the total number of applications filled out by both is 28.
2. **Define variables:**
Let $m$ = number of applications Marko originally filled out.
Let $h$ = number of applications Henry originally filled out.
3. **Write the first equation from the relationship:**
Since Marko filled out 8 more than Henry:
$$m=h+8$$
4. **Write the second equation for the total after adding 3 applications each:**
Marko's new total: $m+3$
Henry's new total: $h+3$
Their combined total is 28:
$$ (m+3)+(h+3)=28 $$
5. **Simplify the second equation:**
$$ m+h+6=28 $$
$$ m+h=22 $$
6. **Substitute $m=h+8$ into $m+h=22$:**
$$ (h+8)+h=22 $$
$$ 2h+8=22 $$
7. **Solve for $h$:**
$$ 2h=22-8 $$
$$ 2h=14 $$
$$ h=\frac{14}{2} $$
$$ h=7 $$
8. **Find $m$ using $m=h+8$:**
$$ m=7+8 $$
$$ m=15 $$
**Final answers:**
Marko originally filled out $15$ applications.
Henry originally filled out $7$ applications.
Applications Count C4Cf1C
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