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10 July, 15:53

String A is 1 yard shorter than string B. String C is 1 ft 8 inches shorter than string B.

The total length of the three strings are 13 ft 4 inches. What is the length of string A

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  1. 10 July, 18:10
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    Let the length of string A be x

    it is 1 yard = 3 ft shorter than string B

    so length of string B = x+3

    String C is 1ft 8 inches shorter than B,

    so C = x + 1ft 8 inch = x + 1 + 2/3 ft.

    Total of A + B+C = 13ft 4inch = 13 + 1/3 ft.

    x + x+3 + x+1+2/3 = 13 + 1/3

    3x + 4 + 2/3 - 1/3 = 13

    3x = 13 - 4 - 1/3

    3x = 9 - 1/3

    x = 3 - 1/9

    x = 3ft - 12/9 inches = 3 ft - 4/3 inches

    x = 2.889 ft
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