Ghosh Babu told Banke Lal, “My wife is older than your daughter by six years. Your daughter is one-sixth the age of my great-grandfather. But, your eldest son is younger than your second wife by eight years.” Banke Lal said, “My second wife is older than your only wife by one-seventh. My eldest son is one-sixth the age of what your great-grandfather would have been, had he not died six years ago. What would have been the age of Ghosh Babu’s great-grandfather at the time of this conversation?

The entire logic depends on the age of the great-grandfather, which is treated as the base value to satisfy all ratios. By verifying the provided proportional relationships for the wives and sons, the only consistent age for the great-grandfather that maintains integer values for all subsequent family members is found. Working through these relational constraints establishes the great-grandfather's age. The age of Ghosh Babu's great-grandfather at the time of this conversation is 96 years.

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• Wrong explanation