Question

A man wants to cut three lengths from a single piece of board of length $91cm$. The second length is to be $3cm$ longer than the shortest and the third length is to be twice as long as the shortest. Find the length of the shortest piece.

Answer 1

Let the Length of shortest piece be $s$

Second piece $=s+3$

Third piece $=2s$

Now, $s+s+3+2s=91\Rightarrow 4s=88\Rightarrow s=22$