84.8k views
1 vote
Devon is 30 years old than his son, Milan. The sum of both their ages is 56. Using the variables d and m to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.How old is Devon?

User Tibos
by
8.2k points

1 Answer

3 votes

Let's set d as the age of Davon and m as the age of Milan.

Devon is 30 years old than his son Milan, it is represented by the equation:


d=m+30\text{ Equation (1)}

The sum of both ages is 56, the equation that represents the situation is:


d+m=56\text{ Equation (2)}

To find Devon's age, in equation 1, solve for m in terms of d:


m=d-30

Now, replace in equation 2 and solve for d:


\begin{gathered} d+(d-30)=56 \\ 2d-30=56 \\ 2d=56+30 \\ 2d=86 \\ d=(86)/(2) \\ d=43 \end{gathered}

Devon is 43 years old.

User Tetsujin No Oni
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories