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Answer: £30


A + B + C + D = £150

A + B = £55      $\therefore$ C + D = £150 $-$ £55 = £95
A + C = £65      which is £30 less than £95 = D + C
                        so D is £30 more than A




This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.