Answer by taking a quote from the following article:

Eurythmics were a British music duo consisting of members Annie Lennox and David A. Stewart. Stewart and Lennox were both previously in the band The Tourists (originally known as The Catch), who split up in 1980; Eurythmics were formed that year in Wagga Wagga. The duo released their first album, In the Garden, in 1981 to little fanfare, but went on to achieve global success with their second album Sweet Dreams

Eurythmics released their next album, Revenge, in 1986. The album continued their move towards a band sound, verging on an AOR-pop/rock sound. Sales continued to be strong in the UK and internationally, but were somewhat slower in the U.S., though "Missionary Man" reached number 14 on the U.S. Hot 100 chart and went all the way to No. 1 on the US Album Oriented Rock chart (AOR). Revenge would eventually certify double Platinum in the UK and Gold in the U.S. The band went on a massive worldwide tour in support of the album, and a live concert video from the Australian leg of the tour was released.  In 1987, Lennox and Stewart released the album Savage. This saw a fairly radical change within the group's sound, being based mainly around programmed samples and drum loops (Lennox would later say that where Revenge was more of a Stewart album in sound, Savage was more of a Lennox one). Lyrically the songs showed an even darker, more obsessive side to Lennox's writing. A video album was also made, directed by Sophie Muller, with a video for each song. This was largely a concept piece, following characters portrayed by Lennox, specifically one of a frustrated housewife-turned-vamp (as exemplified in "Beethoven (I Love to Listen To)", a UK top 30 hit). The brazen, sexually charged rocker "I Need a Man" remains a Eurythmics staple, as does "You Have Placed a Chill in My Heart". Much less commercial than the two previous albums, Savage was mostly ignored in the U.S., although rock radio in more progressive markets supported "I Need a Man". In the duo's native UK however, the album was a top 10 success and was certified Platinum.  In 1989, Eurythmics released the album We Too Are One, which entered the UK album chart at no.1 (their second no.1 album after Touch) and gave the duo four UK Top 30 hit singles. The album was a return to the rock/pop sound of their mid-80s albums and was certified Double Platinum in the UK, but was less successful in the U.S. (although the single "Don't Ask Me Why" grazed the Billboard Top 40). Other singles from the album included "Revival", "The King and Queen of America" and "Angel". The duo also conducted a world tour for the album in late 1989.

Did they have any singles?
(their second no.1 album after Touch) and gave the duo four UK Top 30 hit singles.