It is given in the question that,
A 18 inch string is cut into two where the second piece is 3 inches longer than twice the first.
Let the length of the first piece be x inch.
So length of second piece is
![(2x+3)inch](https://img.qammunity.org/2019/formulas/mathematics/high-school/ut466s9i3ueb7ms7a6hpb4uo8esx68f859.png)
And total length is 18 inch. That is
![x+2x+3 =18 \\ 3x+3 = 18 \\ 3x = 15 \\ x =5](https://img.qammunity.org/2019/formulas/mathematics/high-school/b1z9fcjcia3cq0oobquwswqrg4p8c5x2ca.png)
So the length of the first piece is 5 inch and the length of second piece is
![(2*5 +3) = 13 inches](https://img.qammunity.org/2019/formulas/mathematics/high-school/qyi9c9zmd4d8nv8cldj0msl29ca9in70t4.png)