Home > Algebra > Problem Solving with Linear Models

Devaughn is 12 years older than Sydney. The sum of their ages is 64. What is Sydney's age?

Answer 1

Savannah Anderson

#26#

Let

#D=# Devaughn's age

#S=# Sydney's age

#D+S=64#

#D=S+12#

Now

#D+S=64 => D=64-S#

and so

#S+12=64-S#

#2S=52#

#S=26#

Therefore

#D=S+12#

#D=38#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Savannah Anderson

Let's represent Sydney's age as ( x ) years. Since Devaughn is 12 years older than Sydney, we can represent Devaughn's age as ( x + 12 ) years.

According to the given information, the sum of their ages is 64:

[ x + (x + 12) = 64 ]

Now, let's solve for ( x ):

[ 2x + 12 = 64 ] [ 2x = 64 - 12 ] [ 2x = 52 ] [ x = \frac{52}{2} ] [ x = 26 ]

So, Sydney is 26 years old.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.