A PIECE OF ROPE 10m LONG IS CUT INT...
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A PIECE OF ROPE 10m LONG IS CUT INTO THREE PIECE IF THE LENGTH OF TWO PIECES IS_4m_AND 35 M RESPECTUM 70 THEN FIND THE LENITH OF THE THIRD PIECE.

11th - 12th Class
Maths
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198
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length of Rope is ( 10 mathrm{m} ) is dived 3 pieces ( x_{1}, x_{2}, x_{3} ) respectively ( x_{1}+x_{2}+x_{3}=10-0 ) Given ( begin{aligned} 2_{1} &=4 frac{1}{2}=frac{4 times 2+1}{2} &=frac{9}{2} m x_{2} &=3 frac{1}{5}=frac{3 times 5+1}{5} &=frac{16}{5} m end{aligned} ) ( x_{1}, x_{2} ) values put in equation ( frac{9}{2}+frac{16}{5}+x_{3}=10 ) ( frac{9 times 5+16 times 2}{10}+x_{3}=10 ) ( frac{17}{10}+x_{3}=10 ) ( x_{3}=10-frac{77}{10} ) ( x_{3}=frac{100-77}{10} ) ( x_{3}=frac{23}{10} ) ( x_{3}=2 cdot frac{3}{10} )
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