IIT JEE , AIEEE Forum - Mathematics , Algebra - only for maths lovers [admin]: no. of solutions of an equation

ankit_iitjee21

the no. of solutions of equation x+y+z=20

einstein

ariyam66

I think there should be some restrictions on x,y & z (like all of them being positive integers or otherwise).

If there is no such restrictions, then there can be infinite no. of solutions.

The answer provided by einstein is correct if x,y & z are all non-negative integers.

edison

Obviously there is a need to specify one more condition that puts constraint on any arbitrary value of x, y or z.

In the existing scenario if we take any arbitrary value of x and y then we can select z in such a way that the equation x+y+z =20 is always satisfied.

So the no. of solutions of the equation are INFINITE.

Thus, in the absence of another constraint the question is incomplete.

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