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Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

  • A.11/P + 6 
  • B.P/11 + 6
  • C. 11/P - 6
  • D.P/11 - 6

Answer: A


Let Ben’s age now be \(B \) 

Anita's age now be \(A\) 

\((A - 6) = P(B - 6)\)

But \(A\) is 17 and therefore, \(11 = P(B - 6)\)

\(\Rightarrow 11/P = B-6\)

\(\Rightarrow (11/P) + 6 = B\)

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