Tanya ---- x
Tshepo ---- 2x+5
jake = 3(2x+5)
solve:
3(2x+5) = 45
then sub the value of x into my definitions.
What did you get?
Tshepo ---- 2x+5
jake = 3(2x+5)
solve:
3(2x+5) = 45
then sub the value of x into my definitions.
What did you get?
Tshepo = 15
Thank you for the help Reiny.
1. Tshepo is five years older than two times Tanya's age: We can represent this as Tshepo = 2*Tanya + 5.
2. Jake is three times as old as Tshepo: We can represent this as Jake = 3*Tshepo.
From the second statement, we are given that Jake is 45 years old. Therefore, we substitute this value into the equation Jake = 3*Tshepo:
45 = 3*Tshepo
To find Tshepo's age, we can divide both sides of the equation by 3:
Tshepo = 45/3
Tshepo = 15
Now that we know Tshepo's age is 15, we can substitute this value into the equation Tshepo = 2*Tanya + 5 to solve for Tanya's age:
15 = 2*Tanya + 5
Subtracting 5 from both sides of the equation:
10 = 2*Tanya
To find Tanya's age, we can divide both sides of the equation by 2:
Tanya = 10/2
Tanya = 5
So, Tshepo is 15 years old, and Tanya is 5 years old.