A total of 22 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years of the women?
(A) 31
(B) 31.5
(C) 32
(D) 32.5
(E) 33
I tried solving it with the weighted average formula but my answer was incorrect. In OG, it is solved by first taking the sum of total members - sum of men ages which is equal of sum of women ages and divide it by number of women to get the average. Can we solve it another way? With the weighted average formula?
(A) 31
(B) 31.5
(C) 32
(D) 32.5
(E) 33
I tried solving it with the weighted average formula but my answer was incorrect. In OG, it is solved by first taking the sum of total members - sum of men ages which is equal of sum of women ages and divide it by number of women to get the average. Can we solve it another way? With the weighted average formula?
Last edited by shahfahad on Thu Nov 26, 2015 11:24 am, edited 1 time in total.














