49.--NEXT-DOOR NEIGHBOURS.

There 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 age. 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 brother

Sammy. What was the age of each of the eight individuals?

Amusements in Mathematics · 第 64 / 970 题