They were arrested after a woman's body was found in a bungalow in Archdale Close, Manor, yesterday afternoon.
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A police cordon remained in place around the house yesterday while enquiries were carried out at the scene.
Officers also carried out door-to-door enquiries on the street to try to piece together the circumstances surrounding the death.
Anyone with information should call South Yorkshire Police on 101 quoting incident number 415 of August 2.