were two families living next door to one another at Tooting
Bec—the Jupps and the Simkins.
The united ages of the four
Jupps amounted to one hundred years, and the united ages of the Simkins
also amounted to the same.
It was found in the case of each family that
the sum obtained by adding the squares of each of the children's ages
to the square of the mother's age equalled the square of the father's
In the case of the Jupps, however, Julia was one year older than
her brother Joe, whereas Sophy Simkin was two years older than her
What was the age of each of the eight individuals?