The number of solutions of the equation 2x+y=40 where both x
and y are positive integers and x ≤ y is:

(1) 7 (2)
13

^{ }(3) 14 (4) 18^{ }(5) 20
Solution follows here:

__Solution:__
It’s a straight forward question.

2x+y=40; x ≤ y;

All possible solutions are:

x=

**1**,y=38;
x=

**2**,y=36;
and so on...

and so on..

x=

**13**,y=14; (After this, for x=14, we get y=12 which is wrong as x should be less than y)
Total possible solutions are

**13****Answer (2)**
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