On December 12, 1984 Sodnom was appointed chairman of the Council of Ministers, or prime minister, and was elected a member of the MPRP Politburo following the ouster of Yumjaagiyn Tsedenbal from the chairmanship of the Presidium of the People's Great Hural and the ascension of Sodnom's political ally Jambyn Batmönh to the position.
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He first attended school in the Bayanmönkh district of Khentii Province and then went on to study at the Finance and Economic Technical College in Ulaanbaatar from 1946-1950.