To determine the age difference between Mike and Frank, we need to analyze the ages given in the table. Let's go through the steps to find the consistent age difference.
1. List of Ages:
- Mike's Ages: 5, 12, 16, 27, 28, 29
- Frank's Ages: 8, 15, 19, 30, 31, 32
2. Calculate the difference for each paired age:
- For Age 5 (Mike) and Age 8 (Frank):
[tex]\( 8 - 5 = 3 \)[/tex]
- For Age 12 (Mike) and Age 15 (Frank):
[tex]\( 15 - 12 = 3 \)[/tex]
- For Age 16 (Mike) and Age 19 (Frank):
[tex]\( 19 - 16 = 3 \)[/tex]
- For Age 27 (Mike) and Age 30 (Frank):
[tex]\( 30 - 27 = 3 \)[/tex]
- For Age 28 (Mike) and Age 31 (Frank):
[tex]\( 31 - 28 = 3 \)[/tex]
- For Age 29 (Mike) and Age 32 (Frank):
[tex]\( 32 - 29 = 3 \)[/tex]
3. Consistent Age Difference:
Each time, we find the difference between Frank's age and Mike's age is [tex]\( 3 \)[/tex] years.
4. Conclusion:
All the differences calculated are consistent and equal to [tex]\( 3 \)[/tex]. This indicates that Frank is consistently 3 years older than Mike.
Therefore, the age difference between Mike and Frank is 3 years.
