The suspect called at the pensioner's home in Whitecraig Gardens in Whitecraig, East Lothian, and offered to clear the snow from her path. Although no payment for the service was discussed, the man later called to demand a payment and only left when she handed over cash.
Police said no other residents in Whitecraig Gardens reported a visit by the man, and police are now keen to speak to anyone who may have seen him in the area following the incident at around 1pm on Tuesday.
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Hide AdA police spokesman said: "It would seem the elderly occupant believed the male who called at her door was from the council and so allowed him to carry out the work without challenging him further."