Reading Time: < 1 minute
Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE PS
Solution:
1) Since there are 48 people (22 men and 26 women) and the average age of all of them is 35, the total ages of all the people at the party is 48(35).
2) Since there are 22 men and their average age is 38, the sum of all the men’s ages is 22(38).
3) There are 26 women; letting their average age be x, the sum of all the women’s ages is 26x.
Since the sum of the ages of all 48 people must be equal to the sum of the ages of the 22 men plus the sum of the ages of the 26 women, we have
48(35) = 22(38) + 26x
1680 = 836 + 26x
26x = 844
x = 844/26
x = 32 12/26 ≈ 32.5
Answer: D
