Question 34

Challenge question #34 (24/10/2016)

Junior Question

A man and his grandson have the same birthdate. For six consecutive birthdays, the man’s age is an integer multiple of his grandson’s age.

How old are the man and his grandson at the sixth of these birthdays?

Answer

Senior Question

Maths Image

The semi-circles pass through each other’s centres.

Find the ratio $r:R$.

Answer