Question

Write an application problem similar to Example 5.37 using the ages of two of your friends or family members.Then translate to a system of equations and solve it.

Short answer

The age of Jay is 15 years and age of his mother, Riya is 40 years.

Step-by-step solution

Step 1. Given Information  

The given data is that to use the ages of two of your friends or family members and translate to a system of equation

Step 2. Application Problem

Riya is 25 years older than his son Jay. The sum of their ages is 55. Find their ages.

Step 3. Calculation

Let x be the age of Jay and y be the age of his mother, Riya.

The sum of their ages is 55 that is $x+y=55--\left(1\right)$

Riya is 25 years old then Jay that is $y=x+25--\left(2\right)$

Substitute equation (2) in equation (1) to find the value of x.

$$\begin{gathered} x+x+25=55 \\ 2x=55-25 \\ 2x=30 \\ x=15 \end{gathered}$$

Substitute the value of x in equation (2) to find the value of y.

$$\begin{gathered} y=15+25 \\ y=40 \end{gathered}$$

Thus, the age of Jay is 15 years and age of his mother, Riya is 40 years.