Let's denote:
- Safiya's age as S
- Janet's age as J
Given that Janet is 6 years younger than Safiya, we can express this relationship as:
J = S - 6
We also know that the sum of their ages is 26:
S + J = 26
Now, we can substitute the expression for J from the first equation into the second equation:
S + (S - 6) = 26
Combining like terms:
2S - 6 = 26
Add 6 to both sides:
2S = 32
Divide both sides by 2:
S = 16
Now that we know Safiya's age, we can find Janet's age using the first equation:
J = S - 6
J = 16 - 6
J = 10
So, Safiya is 16 years old and Janet is 10 years old.
