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An 85m long rod is divided into two parts. If one part is

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  1. An 85m long rod is divided into two parts. If one part is 2/3 of the other part, then the longer part (in metres) is :
    1. 34
    2. 56
      2
      3
    3. 85
    4. 51
Correct Option: D

Let the longer part be p.
∴  According to question,
Shortest part =
2p
3

∴  p +
2
p = 85m
3

⇒ 
3p + 2p
= 85
3

⇒ 
5p
= 85
3

∴  p = 51 m
Hence , the longer part is 51 m .



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