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All in a Jumble

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Weekly Problem 32 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

I have a max/min thermometer in my greenhouse. It records both the highest and the lowest temperatures reached from the time I reset it. I reset it on Sunday when the temperature was $4^\circ \text{C}$. Overnight the temperature fell $5^\circ$. Then during Monday it rose by $6^\circ$ before falling $10^\circ$ during the night. On Tuesday it rose by $4^\circ$ and fell by $2^\circ$ overnight. On Wednesday evening, what were the maximum and minimum temperatures recorded?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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