Question

A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm 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 atleast 5 cm longer than second

Answer 1

Let the of the shortest board be x cm.

lenght of the second board

= 3 cm longer than the shortest side

= x+3 cm

& lenght of the third board

= twice the shortest lenght

= 2x cm

x+( x+3)+2x<= 91

4x+3<= 91

4x<=88

x<=88/4

×<=22

2x>=(x+3)+5

2x>=×+8

2×-×>=8

x>=8..