Long Piece: x + 18
Short Piece: x
(x) + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
Long Piece: x + 18 = (33) + 18 = 51
Answer: 33 meters and 51 meters
The small cable is 33 meters and the large one is 51 meters.
Let the length of the smallest cable be represented by x
Therefore, the bigger cable will be x+18
The equation to solve the question will be:
x + x+18 = 84
2x + 18 = 84
Collect like terms
2x = 84 - 18
2x = 66
x = 66/2
x = 33
The small cable is 33 meters
The large cable will be:
= x + 18
= 33 + 18
= 51 meters.
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