The first incident happened around 3pm on Friday, September 16, in Quarryfoot Green, Bonnyrigg.
An elderly couple were at home when a man called and requested to check the kitchen taps. The victims, both aged 81, allowed the man access before noticing a second man in a bedroom. Both men quickly left and the couple noticed a three-figure sum had been stolen.
In Carlaverock Crescent, Tranent, a 75-year-old woman was in her house at around 3pm on Saturday, October 1, when a man claiming to be checking water pressure requested entry to the property. The man entered various rooms before leaving. No items were stolen.
Then an elderly couple reported a purse containing a three-figure sum had been stolen from their property in Lochbridge Road, North Berwick.
The victims had allowed a man claiming to be from East Lothian Council into their home to check water pressure.