Mission Measurement!

Raj is a rice-seller, who has 44 weights and a scale-balance. The values of the 4 weights are aa, bb, cc and dd such that all the values are positive integers and all are different numbers. Also, a+b+c+d=40a+b+c+d=40

Also, using a few or all of the weights, he can measure any integer weight of rice from 11 to 4040 i.e he could either use 11 weight or a few or all the weights as much it requires to measure a certain weight using the scale-balance. If a<b<c<da<b<c<d then what is a+da+d.

Note: In case you don't know about how weights are measured in a scale balance, here is an example. Suppose you have 33 weights like 99 kg, 1010 kg and 77 kg, so you could either measure some weights by using all or few, like using all you can measure 2626 kg by keeping all the weights on one side and the thing to be measured as 2626 kg on the other side or using a few measure 22 kg by keeping the thing to be measured along with the 77kg on 11 side and the 99 kg weight on the other side.

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