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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?

Respuesta :

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:

[tex]d=m+30\text{ Equation (1)}[/tex]

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

[tex]d+m=56\text{ Equation (2)}[/tex]

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

[tex]m=d-30[/tex]

Now, replace in equation 2 and solve for d:

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

Devon is 43 years old.

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