Multiple choice

The mean age of a group of men and women is 30 years. If the mean age of the group of men is 32 years and that of women is 27 years, then find the number of men (in %) in the group.

  1. 60%

  2. 40%

  3. 50%

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Let the number of men be m and the number of women be w. Using the combined mean formula, 32m plus 27w equals 30 multiplied by the total group size (m + w). Simplifying this gives 2m equals 3w, resulting in a ratio of men to the total group of 3 to 5. Multiplying by 20 yields 60 percent.

Keep practicing — related questions