Answer:
Let's denote Ama's age as \(A\) and Kwame's age as \(K\).
According to the given information, we have two equations:
1. Ama is 13 years older than Kwame:
\[A = K + 13\]
2. The sum of their ages is 19:
\[A + K = 19\]
Now, we can solve these equations simultaneously to find the ages of Ama and Kwame.
Substituting the expression for \(A\) from equation 1 into equation 2:
\[(K + 13) + K = 19\]
\[2K + 13 = 19\]
Subtracting 13 from both sides:
\[2K = 19 - 13\]
\[2K = 6\]
Dividing both sides by 2:
\[K = \frac{6}{2}\]
\[K = 3\]
Now that we have found Kwame's age, we can substitute it back into equation 1 to find Ama's age:
\[A = K + 13\]
\[A = 3 + 13\]
\[A = 16\]
So, Ama is 16 years old and Kwame is 3 years old.
Answer:
ama = a
kwame=k
A = K + 13
A = 3 + 13
A = 16
Step-by-step explanation:
Ama is 16 and Kwame is 3.
