# Add new comment

How is frequency related to pitch? Hear the music we love emerge from pure mathematical beats.

We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.

Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.

In this podcast author Coralie Colmez shares insights into her novel

*The irrational diary of Clara Valentine*.We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!

There are seven distinct ways of factoring 36 into groups of three integers:

1 3 12 (sum is 16)

1 4 9 (sum is 14)

1 1 36 (sum is 38)

1 6 6 (sum is 13)

2 2 9 (sum is 13)

2 3 6 (sum is 11)

3 4 3 (sum is 10)

The 2nd clue is not about the house number but the fact that, even knowing the

house number is insufficient to work out their ages. This means that the sum

cannot be unique.

Of all the possibilities listed above, only (1 6 6) and (2 2 9) provide sums

that are non-unique.

The 3rd clue tells us that there is an eldest. Hence the ages are 2, 2 and 9.