Terrence is 3 years older than Tiara. In 3 years the sum of their ages will be 41. How old is Terrence now?

Let Terrence's current age be \( T \), and Tiara's current age be \( t \). From the problem, we know two key pieces of information:

1. Terrence is 3 years older than Tiara:
   \[
   T = t + 3
   \]

2. In 3 years, the sum of their ages will be 41:
   \[
   (T + 3) + (t + 3) = 41
   \]
   Simplifying this:
   \[
   T + t + 6 = 41
   \]
   Subtract 6 from both sides:
   \[
   T + t = 35
   \]

Now, substitute \( T = t + 3 \) into the equation \( T + t = 35 \):
\[
(t + 3) + t = 35
\]
Simplify:
\[
2t + 3 = 35
\]
Subtract 3 from both sides:
\[
2t = 32
\]
Divide by 2:
\[
t = 16
\]

So, Tiara is 16 years old. Since Terrence is 3 years older, his age is:
\[
T = 16 + 3 = 19
\]

Thus, Terrence is currently 19 years old.

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. If the sum of their ages in 5 years will be 49, what are their current ages?
2. If Terrence were 5 years younger, what would their age sum be in 3 years?
3. What if the age difference were 5 years instead of 3?
4. Can you find Tiara’s age if the sum of their ages in 2 years will be 37?
5. How would the equation change if they were twins?

**Tip:** When solving word problems, translating relationships into algebraic expressions simplifies the solution process.

Discover how to solve the linear age problem involving Terrence and Tiara. Learn to set up and solve linear equations to find their current ages, focusing on key algebraic concepts. Ideal for students in Grades 6-8.

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