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Three friends divided some apples in the ratio \(3 : 5 : 7\). After consuming 16 apples they found that the remaining number of apples with them was equal to the largest number of apples received by…

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Three friends divided some apples in the ratio 3:5:73 : 5 : 7. After consuming 16 apples they found that the remaining number of apples with them was equal to the largest number of apples received by one of them at the beginning. The total number of apples these friends initially had was
  1. 46
  2. 16
  3. 30
  4. 14

Answer and explanation

Correct answer: C - 30

The friends started with 3030 apples. If one ratio unit is uu, then 15u−16=7u15u-16=7u, so u=2u=2 and the initial total is 15u15u. The number 1414 is the largest initial share and also the number left after eating.

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  • IPMAT Indore

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