If the sum of the ages of two children is 12 and their product is 32, which one is the elder?

Answer: 8 years
Explanation

To find the ages, solve the equations:  

Let the ages be x and 12 - x.

The product is x(12 - x) = 32.

Solving x^2 - 12x + 32 = 0 gives x = 4 and x = 8

So, the ages are 4 and 8 years.

The elder child is: 8 years.

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