The sum of a non-zero number and thrice its reciprocal is
2
13
​
. Find the number.

Let the non-zero number be x.
According to the problem:

x+3(
x
1
​
)=
2
13
​

x+
x
3
​
=
2
13
​

x
x
2
+3
​
=
2
13
​

Cross-multiplying gives:

2(x
2
+3)=13x
2x
2
+6=13x
2x
2
−13x+6=0
Solving the quadratic equation by splitting the middle term:

2x
2
−12x−x+6=0
2x(x−6)−1(x−6)=0
(2x−1)(x−6)=0
So, x=6 or x=
2
1
​
.
From the given options, 6 is present.