The total length of pencils A, B, and C is 29 cm. Pencil A is 11 cm shorter than pencil B, and Pencil B is twice as long as Pencil C. How long is pencil A?

5 cm

Step-by-step explanation:

Let the length of pencil B be 2x cm. Then, A/Q

the length of pencil A is (2x-11) cm and the length of pencil C is x cm.

So,

(2x-11) + 2x+x = 29, or

5x = 40, or

x = 8 cm.

Now, the length of pencil A is given by (2x-11) cm and we know the value of x as 8 cm. Therefore, putting the value of x in Eq. (2x-11) cm, we get the length of pencil A as 5 cm.