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      Question

      The age of person A (y+3) years

      ago and the age of person B (y+4) years from now are in the ratio 2:3. It is also given that: Person A is 5 years younger than person C. Person B is 6 years older than person C. Person C will be 40 years old after 6 years. Find the Value of 'y'
      A 5 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C -2 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Given: C will be 40 years old after 6 years β†’ C's current age = 40 βˆ’ 6 = 34 A is 5 years younger than C β†’ A = 34 βˆ’ 5 = 29 B is 6 years older than C β†’ B = 34 + 6 = 40 A's age (y + 3) years ago = 29 βˆ’ (y + 3) = 26 βˆ’ y B's age (y + 4) years from now = 40 + (y + 4) = 44 + y According to the question: (26 βˆ’ y) / (44 + y) = 2 / 3 3(26 βˆ’ y) = 2(44 + y) 78 βˆ’ 3y = 88 + 2y 78 βˆ’ 88 = 2y + 3y βˆ’10 = 5y y = βˆ’2

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