The Square of Mark's Age 3 Years Ago Is 6 Times the Age He Will Be in 9 Years. What Is His Age Now?


Question: The square of mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Answer: Mark's current age is 15 years

We will solve a quadratic equation to find the answer to the given question.

Explanation:

Let Marks' current age be x years.

Marks' age 3 years ago = x - 3

Marks' age 9 years from now = x + 9

According to the question,

(x - 3)2 = 6 × (x + 9)

x2 + 9 - 6x = 6x + 54

x2 - 12x - 45 = 0

(x + 3) (x - 15) = 0

x = -3, 15

Therefore, Mark's current age is 15 years.