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      Question

      The average age of Mohan, his wife, his son and his

      daughter is 24 years. His wife is just 5 years younger than Mohan himself and his wife was 25 years old when his son was born. He was 33 years old when his daughter was born. The average age of Mohan and his daughter age will be?
      A 24.5 years Correct Answer Incorrect Answer
      B 20.5 years Correct Answer Incorrect Answer
      C 28 years Correct Answer Incorrect Answer
      D 22.5 years Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Total sum of ages: The average age of Mohan, his wife, son, and daughter is 24 years, so their total sum of ages is 24×4=96 yrs Mohan's age = M Wife's age = M−5 Son's age = M−30 Daughter's age = M−33 Sum equation: M+(M−5)+(M−30)+(M−33)=96 for Mohan's age: 4M−68=96 M=41 years (Mohan's age) Daughter's age: 41−33=8 years. Average age of Mohan and his daughter: Sum = 41+8 = 49 Average = 49/2 =24.5 years. The average age of Mohan and his daughter is 24.5 years.

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