Lesson: Applications on Systems of Linear Equations

Two cousins were born 8 years apart. How old will the elder be when the sum of their ages is equal to 20 years?

A man’s age is 4 times his son’s age. In five years, the sum of their ages will be 105. How old are they now?

I am thinking of two numbers. Use the clues to determine what the numbers are.

• The product of the two numbers is 48.
• The difference between the two numbers is 2.