At least 100 others were wounded by the explosions in the city center's Zahra district, Reuters reported on Sunday.
Footage from Syria's television channels showed charred corpses buried among rubble, damage to shop fronts and debris littering a wide area. Many cars were on fire, sending out plumes of black smoke. Wounded people walked around dazed.
A bomb attack claimed by Daesh (ISIL) last month in Homs in the west of the country killed at least 24 people as Syrian army took back some Daesh-held villages in Aleppo province in the north.
Sunday's attacks also came a day after government advances against Daesh. There was no immediate claim from the group, however.
Violence rages on unabated across the country as world powers and the United Nations push to end the conflict, meeting in Geneva to try to broker a ceasefire.
Peace talks were suspended almost immediately earlier this month as Syrian government forces and their allies, backed by Russian airstrikes advanced in Aleppo province.