Problema Solution

A piece of string 37 inches long was cut into three pieces. The first piece is 7 inches shorter than the second piece, and the third piece is twice as long as the second piece. How long is each piece of string?

Answer provided by our tutors

Let 'x' represent the length of the second piece.

The first piece is 7 in shorter than the second: 'x - 7'

The third piece is twice as long as the second: '2x'

The total length of all three pieces together is 37 in:

x + (x - 7) + 2x = 37

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click here to see the equation solved for x

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x = 11 in

11 - 7 = 4 in

2*11 = 22 in

The first string is 11 inches, the second is 4 inches and the third is 22 inches long.