Answer:
Let's denote Sydney's age as S. According to the given information, Devaughn is 12 years younger than Sydney, so Devaughn's age would be S - 12.
The sum of their ages is 78, which can be expressed as:
S + (S - 12) = 78
Now we can solve this equation for S, which represents Sydney's age.
Simplifying the equation:
2S - 12 = 78
Adding 12 to both sides:
2S = 90
Dividing both sides by 2:
S = 45
So Sydney's age is 45 years.