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Set granddaughter x and grandfather y.

One condition is ok: Grandpa is X years old and granddaughter is born 40 years later, so Y-X = X+40 (father-daughter gap).

The second condition is: when the granddaughter is Y, according to the same gap between father and daughter, 125-Y = X+40 can be obtained.

To sum up, granddaughter 15 years old, grandfather 70 years old.