# Calvin is Bored -_-

Algebra Level 2

Calvin is looking at the ages of 4 students on Brilliant. Being extremely bored, he decides to add them up 3 at a time, and obtains the values 44, 51, 53, 56. What is the sum of the ages of all 4 students?

Details and assumptions

As an explicit example, if the ages were 1, 2, 3 and 4, then the values that he would obtain when adding them up 3 at a time will be $$1 + 2 + 3 = 6, 1 + 2 + 4 = 7, 1 + 3 + 4 = 8$$ and $$2 + 3 + 4 = 9$$.

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