Devaughn's age is three times Sydney's age. The sum of their ages is 56. What is Sydney's age?

14

Step-by-step explanation:

Let's say Devaughn is x amount of years old and Sydney is y amount of years old.

Since the sum of their age is equal to 56, you would make the equation:

x+y=56

Now, set that aside and move on to the next step.

They are saying the Devaughn (x) is 3 times the number of years Sydney (y) is. So in mathematical terms you can create an equation stating:

3y=x because 3 times Sydney's age (y) would be Devaughn's age (x).

With the equations:

3y=x

x+y=56

You can plug in x in (x+y=56) as 3y because the other equation is saying that x is equal to 3y. So, that will give you 3y+y=56. Now, combine like terms or just simplify.

Simplifying 3y+y=56 would give you 4y=56, now just divide 56 by the 4 and you will get 14. This is saying that y=14. Now plug in y for the other equation (x+y=56):

x+14=56

Subtract 56 by 14 and it'll give you 42. That is saying x=42.

The question is asking for Sydney's age and i substituted her for the letter y which equaled 14.

Hope this helped :)

b

step-by-step explanation: