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Two boxes, P and Q, each contain 3 jewels.

When a jewel worth £5000 is transferred from P to Q, the average value of the jewels in each box increases by £1000.

What is the total value of all six jewels?

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.*