Question

A man wants to cut three lengths from a single piece of board of length 91cm. The second length is to be 3m longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second

Answer 1

Answer:

Step-by-step explanation:

x+y+z=91

y=x+3

z=2x

2x-(x+3)=5(atleast)

x-3=5

x=8(minimum)

x+x+3+2x=91

4x+3=91

4x=91-3

4x=88

x=22

possible values of shortest are 8,9,10,11,12,13,14,15,16,17,18,19,20,21 and 22