Multiple choice

The average age of 8 persons in a committee increases by two years when 2 men aged 35 years and 45 years are substituted by 2 women. Find the average age of the two women.

  1. 48 years

  2. 50 years

  3. 56 years

  4. 60 years

  5. 75 years
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A Correct answer
Explanation

Total age increase = 8 * 2 = 16 years. Sum of ages of 2 new women = Sum of ages of 2 men + 16 = (35 + 45) + 16 = 96. Average age of 2 women = 96 / 2 = 48.

AI explanation

The total increase in the age of the 8 persons is 8 multiplied by 2 years, which is 16 years. The combined age of the 2 men who left is 35 plus 45, or 80 years. To cause the 16 year increase, the combined age of the 2 women must be 80 plus 16, which is 96 years, making their average age 96 divided by 2, or 48 years.

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