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Two elderly women have been subject to purse thefts in supermarket car parks on the same day.
They happened outside the Tesco store in Farleigh Hill, Maidstone, and near Waitrose in Sovereign Way, Tonbridge, on Friday.
In both cases, it is reported the suspect, who had a foreign accent, told the pensioners their car had been damaged while parked outside the shops, and it was only later the same day that the thefts were discovered.
The woman said to be involved in each incident is described as being white and of slim build.
Police say it is possible the same female was involved in both incidents, though she is believed to have been wearing different headwear on each occasion.
Inspector Dan Hinrich, of Maidstone’s Community Safety Unit, said: "It is entirely possible the same person was responsible for these thefts, though in one incident, the suspect was wearing a woollen hat and, in the second, a straw hat and sunglasses.
"While we are investigating, I would remind shoppers to be careful when out and about to avoid becoming victim to opportunist thieves.
"Never leave handbags unattended on top of prams, shopping trolleys, wheelchairs or mobility scooters. Always keep them zipped up and where you can see them.
"Do not carry large amounts of cash and, if you have one, a purse chain can be an effective measure against thieves."
Anyone with information that may assist the investigation is urged to call Kent Police on 01622 604100, quoting crime reference 46/159903/21.
You can also contact Crimestoppers anonymously on 0800 555111, or by completing the online form on their website.