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      Question

      The average age of 10 men is increased by 2 years when

      two of them whose age are 24 and 26 years replaced by two new men. The average age of the two new men is?
      A 70 years Correct Answer Incorrect Answer
      B 42 years Correct Answer Incorrect Answer
      C 30 years Correct Answer Incorrect Answer
      D 35 years Correct Answer Incorrect Answer

      Solution

      Let the sum of age of 10 men = 10x And the age of two new men = y yrs According to the question, 10x - 24 -26 + y = 10(x+2) 10x - 50 + y = 10x + 20 y = 70 Average age of New men = y/2 = 70/2 = 35 years Alternate method: Sum of ages of two new persons = sum of ages of two persons repaled + change in average ×number of persons = 26+24+2×10 = 50 + 2×10 =50+20 = 70 So average of ages of new persons = 70/2 = 35 years

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