a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages.

John is 9, Brian is 6.

Step-by-step explanation:

I)

Let represent John's age and represent Brian's age.

John is three years older than Brian. In other words:

The product of their ages is 54. Or:

II)

Write this as a quadratic by substituting:

III)

Solve the quadratic:

Since age cannot be negative, Brian must be 6 years old right now.

John is three year older, so John is 9.