devaughn is 8 years younger than sydney. The sum of their ages is 58. What is Sydney's age?

Answer 1

First, we can start by defining our variables...

1. Let "d" be Devaughn's age
2. Let "s" be Sydney's age

Then we can write equations with the information given...

1. Devaughn is 8 years younger than Sydney : d = s - 8
2. the sum of their ages is 58 : d + s = 58

Now, we can use substitution to solve...

(s-8) + s = 58

2s-8=58

2s=66

s=33

We see that Sydney is 33 years old and since Devaughn is 8 years younger, we know that he is 33-8 = 25 years old.

Answer 2

Let "d" be the age of Devaugn. Then Sydney's ages is "d + 8". Since the sum of their ages is 58 then:

d + (d + 8) = 58

2d + 8 = 58

2d = 50

d = 25

So Devaugn is 25 and Sydney is 33