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Colin the Mathmo /
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2023-08-29 14:29:07

Colin the Mathmo on Nostr: Here's a challenge for my mathsy people here on Mathstodon ... In the numbers game on ...

Here's a challenge for my mathsy people here on Mathstodon ...

In the numbers game on Countdown one is given a target to reach using six numbers and the standard four operations.

So:

339 = ((50 + 4) × (3 − 1) + 5) × 3

It is stipulated in the rules that intermediate results must be positive integers, so this is not allowed:

339 = 50 × (4/5 + 3 + 3) – 1

Can you find a target and six numbers such that it cannot be reached by following the rules, but it *can* be reached with non-integer intermediate values?

I don't know, but I've not tried especially hard. I thought it might be a thing people here might like a go at.

Have at it !!

(Boosts welcome, if you're comfortable doing so).
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