Apiece of wood is cut into three pieces in the ratio 2: 3: 5. if the longest piece is 15 in longer than the shortest piece, find the lengths of the piece of wood.

The required length of the piece of wood is 10;15;20.

Given that,

A piece of wood is cut into three pieces in the ratio of 2:3:5.

If the longest piece is 15 in longer than the shortest piece,

We have to determine,

The lengths of the piece of wood.

According to the question,

A piece of wood is cut into three pieces in the ratio of 2:3:5.

First piece = 2x

Second piece = 3x

Third piece = 5x

Total length of the wood = 2x + 3x + 5x = 10x

If the longest piece is 15 in longer than the shortest piece,

Then, a new length of longest piece = 5x+ 15

Then, The length of the piece of wood is,

First wood = 2x = 2(5) = 10

Second wood = 3x = 3(5) = 15

Third wood = 5x = 5(5) = 25

Hence, The required length of the piece of wood is 10;15;20.

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