Multiple choice

The average age of 7 women is increased by 5 years when a 25 year old woman is replaced by Mrs. Rachna. What is the age of Mrs. Rachna?

  1. 60 years

  2. 30 years

  3. 25.7 years

  4. 65 years

  5. None of these
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A Correct answer
Explanation

The total age increase for 7 women is 7 * 5 = 35 years. This increase is due to replacing a 25-year-old woman with Mrs. Rachna. Therefore, Mrs. Rachna's age = 25 + 35 = 60 years.

AI explanation

When the 25 year old woman is replaced, the total age of the 7 women increases by 7 times 5 years, which is 35 years. For the total age to increase by 35 years upon replacement, Mrs. Rachna must be 35 years older than the woman she replaces. Adding this 35 year difference to the 25 year old woman's age makes Mrs. Rachna 60 years old.

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