Let's solve the problem step by step to find out how old Tobias is now.
1. Define current ages:
- Let's denote Janice's current age as [tex]\( j \)[/tex].
- Since Tobias is 2 years older than Janice, Tobias's current age is [tex]\( j + 2 \)[/tex].
2. Determine ages in 4 years:
- In 4 years, Janice will be [tex]\( j + 4 \)[/tex] years old.
- In 4 years, Tobias will be [tex]\( (j + 2) + 4 = j + 6 \)[/tex] years old.
3. Set up the equation for the sum of their ages in 4 years:
- According to the problem, the sum of their ages in 4 years is 64.
- Therefore, [tex]\( (j + 4) + (j + 6) = 64 \)[/tex].
4. Simplify the equation:
- Combine like terms: [tex]\( j + 4 + j + 6 = 64 \)[/tex].
- This simplifies to [tex]\( 2j + 10 = 64 \)[/tex].
5. Solve for [tex]\( j \)[/tex]:
- Subtract 10 from both sides: [tex]\( 2j = 64 - 10 \)[/tex].
- Simplify: [tex]\( 2j = 54 \)[/tex].
- Divide both sides by 2: [tex]\( j = 27 \)[/tex].
6. Find Tobias's current age:
- Remember, Tobias is 2 years older than Janice.
- Therefore, Tobias's age [tex]\( = j + 2 \)[/tex].
- Substitute [tex]\( j \)[/tex] with 27: Tobias's age [tex]\( = 27 + 2 \)[/tex].
- Thus, Tobias is 29 years old.
So, Tobias is currently 29 years old.
