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Sunday Times Teaser 3325 – Olive and Don

by BRG on 14 June 2026

Olive lives at the southwest corner of a city with a grid of streets (as shown with north at the top). She wants to visit her father Don, who lives at the northeast corner. Olive is trying to work out how many possible routes she can use along the streets, not visiting any intersection more than once, but thinks that there are too many to count. To make the calculation easier, she has decided that she  will only travel in the following directions: NW, N, NE, E or SE.

She tells Don the number of possible routes, and he works out that the number is the product of their ages (both of which have two digits).

How old are Olive and Don?

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