If the sum of the ages of two children is 12 and their product is 32, which one is the elder?
- 4 years
- 6 years
- 8 years
- 10 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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