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In the Balance is a puzzle in Professor Layton and the Azran Legacy.

Puzzle

Despite taking off without a hitch, this hot-air balloon has hit a bit of a snag. It's terribly unbalanced, and it keeps drifting off course.

If points A, B, C and D each carry the same amount of weight, balance will be restored. The weight carried by each point is the total of the four bags around it. The numbers on the bags represent their weight in kilograms. The darker bags cannot be moved at all.

Move the sandbags around and get that basket balanced!

Hints




Click a Tab to reveal the Hint.

The bag placed in the centre of the basket is supported by all four points, A to D. In other words, the bag you place here has an effect on all the points in the basket.

As Hint 1 suggested, the bag you place in the centre of the basket is the most important one.

Try placing the one-kilo bag there and taking things from there.

If you followed Hint 2, you should have the one-kilo bag in the centre of your basket.

Now try rearranging all the other bags so that the total weight on each of the points, from A to D, is 17 kilograms.

With the one-kilo bag in the centre of the basket, as instructed in previous hints, try arranging the other bags like this:

? 5 9
7 1 2
3 6 ?

Now, think about which bags should replace the ?s. Place the right bags there and the basket's balance will be restored!


Solution

Incorrect

Too bad.

That balloon's in for a rough ride if you don't restore the basket's bags that surround each of the points A, B, C and D should add up to 17 kilograms.

Correct

Smooth sailing!

The weight of the bags that surround each of the points A, B, C and D should add up to 17 kilograms.

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