To create the equations for both scenarios given:
### 1. Andre and Hassan's Home Runs
Let:
- \( h \) = the number of home runs Hassan hit
- Then, Andre hit \( 2h + 4 \) home runs (4 more than twice the number Hassan hit).
Since together they hit a total of 10 home runs, we can write the equation as:
\[
h + (2h + 4) = 10
\]
This simplifies to:
\[
h + 2h + 4 = 10
\]
So, the equation we can use to find the total number of home runs \( h \) that Hassan hit can be represented by:
**h + (2h + 4) = 10**
---
### 2. Lyle, Katrina, and Mari's Ages
Let \( x \) represent Lyle's age:
- Lyle's age: \( x \)
- Katrina's age: \( x + 2 \) (next consecutive even number)
- Mari's age: \( x + 4 \) (next consecutive even number after Katrina)
Since their total age combined is 66 years, we can write the equation as:
\[
x + (x + 2) + (x + 4) = 66
\]
This simplifies to:
\[
x + x + 2 + x + 4 = 66
\]
So, the equation we can use to determine Lyle's age \( x \) can be represented by:
**x + (x + 2) + (x + 4) = 66**
Thus, the answers you are looking for are:
1. For Andre and Hassan's home runs:
- **h + (2h + 4) = 10**
2. For Lyle, Katrina, and Mari's ages:
- **x + (x + 2) + (x + 4) = 66**