1.

Aman wants to cut three lengths from a single piece of board of length91 cm. The second length is to be 3 cm longer than the shortest andthe third length is to be twice as long as the shortest. What are thepossible lengths of the shortest board if the third piece is to be atleast 5 cm longer than the second?[Hint:If xis the length of the shortest board, then x,(x+ 3) and 2xare the lengths of the second and third piece, respectively. Thus, x= (x+3) + 2x≤91 and 2x≥(x+3) + 5]

Answer»

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 at
least 5 cm longer than the second?


[Hint:
If
x
is the length of the shortest board, then
x,
(
x
+ 3) and 2
x
are the lengths of the second and third piece, respectively. Thus,
x
= (
x
+
3) + 2
x

91 and 2
x

(
x
+
3) + 5]



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