Can you solve this ?

Question

8 boxes of the same size and weight and another one with same size but less weight
9 boxes where mixed & you have a balance equipment with two plates
by using it only two times detect the box of less weight

Answer 1

You have 9 boxes.

1. Divide them into 3 groups of 3.
2. Use the balance on two of the groups.
3. If one of these is lighter then that group has the lighter box. If they are the same then the group not weighed has the lighter box.

4. With the group selected in the previous step, put two of the boxes on the balance. If they are the same then the third box is the lighter one. If one of them is lighter then it is the box you want.

Answer 2

Divide the boxes into 3 groups of 3 boxes each.

Weight two groups. If they balance, the last group contains the light box, if not then the balance will tip to the group with the light box.

So after the first weighting you have tree boxes where one of them is the light one.

Weight two boxes now, of they balance the light box is the one left out, if not the balance will tip to the light box.

Answer 3

Put 3 boxes on one side and 3 on the other.

If balanced remove one from each and replace them with a box that wasn't measured if it's uneven the lighter box was is the new box. If not, it's the box that wasn't measured.

If the first measure is uneven, remove 2 from the lighter side and replace them with 2 that weren't measured. Remove one from the heavier side and replace it with one of the 2 that were removed from the lighter side.

If the lighter side is still lighter, it's the box that was left there. If the other side is lighter, that is the light box. And, if they are equal, the light box is the one that was removed.

:)

Answer 4

1- Divide these boxes into 3 groups each one consist of three items
Group {a, b, c}
2- Use the balance to measure two groups (ex: a , b) put the third group aside
3- You have two cases
Case1: a == b
then the box is in the third group
take two boxes from third group and use the balance if they are equal then the one you left is the lighter box
else the balance will tell you :)
Case2: a>b or b>a
then the lighter group contains our box
repeat what we did in case one take two boxes measure them if the equal then the third one is the lighter else balance will tell you :) again

I hope i could make explain my self clearly
Tanks

Answer 5

Split the 9 boxes into 3 group of 3

Weigh 2 groups
if they are equal, then the ligther box will be in the third group
if they are unequal, the ligther box will be in the group that the plate swings upward.

Until here, you will find the lighter box in a group of three.
Put 1 each on the plates.
If they are equal, the lighter box will be the one that is not weigh.
if they are unequal, the lighter box will be at the plate that swing upwards.

Answer 6

Put one box on either side of the scales 1 by 1, Meanwhile calculate the average weight using the mean system, Once you have finished you will be able to determine the lighter box when the Mean weight lessens (Or has a slighter increase than previously)

Answer 7

put 3 on each plate
then

put 1 on each

bingo!!!

Answer 8

I don't know, but I want to see what answers you get for this.

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Answer 9

Lift them!!!