We know that 5 pieces are on average 124cm long.

This means all peaces together are 5*124 = 620cm long.
The median is 140cm.

In a sequence:

w, x, 140, y, z

We want w(the shortest piece of wood) to be as long as possible. Therefore, the values of the other variables should be as low as possible.

The lowest possible values for y and z are 140.

This gives us: w, x, 140, 140, 140

620 - 3(140) = w + x = 200

w + x have therefore to be equal to 200.

To get the highest value for w (which cannot be > x), we can assign both of them 100, which gives us the sequence:

100, 100, 140, 140, 140

Thanks for the explanation.

Pavithra

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https://www.beatthegmat.com/5-pieces-of-wood-t45661.html

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