How to Balance a See-Saw with Different Weights?

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The discussion focuses on calculating the pivot point for balancing a see-saw with unequal weights. A 67-kg adult and a 23-kg child are positioned at opposite ends of a 10-meter board. The fulcrum must be placed at 2.56 meters from the adult's end to achieve balance, as derived from the equation 67d = (10 - d)23. This setup confirms that the calculations are accurate and the distance d should be clearly defined from the adult's position.

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A 67-kg adult sits at one end of a 10-m board, on the other end of which sits his 23-kg child. Where should the pivot point be placed so the board (ignore its mass) is balanced?

67d=(10-d)23
67d=230-23d
90d=230
d=2.56 m

The fulcrum should be at 2.56 m

Have I set this up right
 
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Looks okay.
 
Looks okay to me, although you should state where your distance d is to me measured from.

Edit: Too slow again
 

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