Some of the length width and height

Question

Q5: The sum of the length, width and height of a box is 112 cm. The length is 32 less than the sum of

the width and height, and twice the width is 4 more than the length. What are the length, width and height

of the box in centimeters?

A length = 22, width = 40. height = 50

B. length = 40, width = 22. height = 50

C length = 54, width = 22, height = 36

D. length = 22, width = 54, height = 36

Answer 1

L+W+D = 112

L= -32 + W+ D

2W = 4+ L

by substitution eliminate 2 variables and solve for the 3rd

D=L+32-W

W = 2+L/2

L + 2+ L/2 + L +32 - 2+L/2 = 112

2L = 112 -32 = 80

L = 80/2 = 40

W = 2+ 40/2 = 22

D = 40+ 32 -22 = 50

LxWxD = 40x22x50

40+22+50= 112

B is correct

(A is close, C and D off the mark)