The sum of two children’s ages is 12 and their product is 32. The elder’s age is:

The sum of two children’s ages is 12 and their product is 32. The elder’s age is:
Answer: "8 years"

Solving the quadratic equation from the sum (12) and product (32) yields ages 8 and 4 with 8 as the elder’s age. This illustrates quadratic equations’ application in paired variable problems.