Here's this week's collection. Answers & extensions here. Why not discuss the problems on Twitter using #SundayAfternoonMaths or on Reddit.

#### Ninety Nine

In a ‘ninety nine’ shop, all items cost a number of pounds and 99 pence. Susanna spent £65.76. How many items did she buy?

#### Reverse Bases

Find two digits

*a*and*b*such that*a**b*in base 10 is equal to*b**a*in base 4?Find two digits

*c*and*d*such that*c**d*in base 10 is equal to*d**c*in base 7?Find two digits

*e*and*f*such that*e**f*in base 9 is equal to*f**e*in base 5?
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