Answer: The answer is 32 years.
Step-by-step explanation: Given that Devaughn is 8 years younger than Sydney and the sum of their ages is 56. We are to find the age of Sydney.
Let 'x' years and 'y' years be the age of Devaughn and Sydney respectively.
The, from the given information, we have
[tex]y-x=8,\\\\x+y=56.[/tex]
Adding the above two equations, we have
[tex]2y=64\\\\\Rightarrow y=32.[/tex]
Thus, the age of Sydney is 32 years.
Answer:
Sydney's age is 32.
Step-by-step explanation:
Let S = Sydney's age
and D = Devaughn's age
We have two conditions.
(1) D = S - 8
(2) D + S = 56
Substitute Equation (1) into Equation (2)
S - 8 + S = 56
Combine like terms
2S - 8 = 56
Add 8 to each side
2S = 64
Divide each side by 2
(3) S = 32
Sydney's age is 32.
