Two pensioners had their purses snatched in Wisbech town centre on Saturday afternoon.
One woman in her 80s had her purse stolen around 2.30pm and a woman in her 70s suffered the same crime just 30 minutes later.
Both women were in the Horsefair Shopping Centre and only discovered their purses were missing when they looked for them in shops.
One woman had the remainder of her pension in her purse – around £85 – which was all the money she had for the week.
The crimes have caused outrage on social media sites, but a warning has been issued about a CCTV image being shared that may show witnesses or even be unrelated to the incidents.
Police would like to speak to anyone who believes they saw the thefts or who has information relating to the crimes. Please call PCSO Katrina Walker on 101.