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The square of the difference between the ages of my eldest brother Niranjan and my sister...

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The square of the difference between the ages of my eldest brother Niranjan and my sister Sunita (who is only 5 years old) is equal to the square of the number obtained by subtracting 8 from my present age. The difference in ages between Niranjan's age and mine equals the difference between the square of the sum of our (Niranjan's and mine) ages.

How old am I?

Choose one option.
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Answer: A. A) 12 years

Standard evaluation according to engineering and computational science principles.

Step-by-step Derivation:
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Step 2: Derive theoretical solution.
Step 3: Select corresponding answer option.