Arithmetic › Integers and signed numbers › Adding signed numbers

Sum of variables in a month-length equation

Middle school · ●●●○○ 50 pts

Let xx, yy, zz be natural numbers satisfying 29x+30y+31z=36629x+30y+31z=366. Find x+y+zx+y+z.

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linear Diophantine equationsbounding argumentsnatural number solutions