If HCF of 768 and x 6 y 2 is 32xy for natural numbers x ≥ 2, y ≥ 2, then what is the value of (x + y)?

UPSC CDS I 2024 Math Paper

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If HCF of 768 and x⁶y² is 32xy for natural numbers x ≥ 2, y ≥ 2, then what is the value of (x + y)?

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