Devaughn is 8 years younger than sydney. the sum of their ages is 56. what is sydney's age?

 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

Adding the above two equations, we have

Thus, the age of Sydney is 32 years.

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.