There are three lead bricks on a table, and you have a strangely designed scale that only functions properly when it has two bricks on it. So you put two of the bricks on and they weigh 24 pounds. Another set of two bricks weighs 26 pounds. The final set of two bricks weighs 30 pounds. How much does each brick weigh?

Question

Mercedes Bishop

Mathematics

15 July, 07:53

There are three lead bricks on a table, and you have a strangely designed scale that only functions properly when it has two bricks on it. So you put two of the bricks on and they weigh 24 pounds. Another set of two bricks weighs 26 pounds. The final set of two bricks weighs 30 pounds. How much does each brick weigh?

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Answers (1)

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Cedric Lambert · Answer 1

First, we need to use one common brick weight. That will be 16. So one brick needs to be 10 and another 14. 14 plus 16 is 30, 10 plus 16 is 26, and 10 plus 14 is 24.

So the three bricks are 10,14, and 16 pounds.