A heat engine absorbs heat Q₁ at temperature T₁ and heat Q₂ at temperature T₂. Work done by the engine is (Q₁+Q₂). This data

It doesnot violates first law of thermodynamics

First law of thermodynamics is based on law of conservation of energy, which states that energy can neither be created nor destroyed but can be converted from one form to another form

Total energy absorbed at given temperatures = Q₁ +Q₂

work done by the system = Q₁ +Q₂

total energy absorbed is converted into equivalent amount of work, law of conservation of energy is obeyed so doesnot violate first law of thermodynamics