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At Bivouac, the average age of all employees is 40.0 and half of the employees are men. Among employees under 40, the ratio of men to women is 7:5, and among the remaining employees, the ratio of women to men is 3:2. If the average age of employees under 40 is 37.0, what is the average age of the remaining employees?
(A) 41.8
(B) 42.0
(C) 42.5
(D) 42.6
(E) 43.6
(A) 41.8
(B) 42.0
(C) 42.5
(D) 42.6
(E) 43.6
07 Apr 2026, 05:13
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| Men | Women | ||
| Age>40 | 2n | 3n | 5n |
| Age<40 | 7m | 5m | 12m |
| (1/2)x | (1/2)x | x |
from above table
2n+7m=(1/2)x & 3n+5m=(1/2)x
Let “y” be average age of employees above 40.
2n+7m=3n+5m
n=2m
40=(37*12m+y*5n)/(12m+5n)
Put n=2m
You will get y=43.6
