average age of a female employees of a retail outlet is 35 years. the total no. of employees is 210. the overall ratio of the female and male staff is 1:2 . the total average of the employee s is 40 years. find the average age of the male employees
Answers
Answer:
42.5
Step-by-step explanation:
given average age of all employess is 40
M+F=40*210
M+F=8400
given F:M=1:2
1x+2x=210
3x=210
x=70
therefore F=70 M=140
given avg of F so sum of ages of F=35*70
total age of M= total sum of ages of M and F - age of F
M=5950
THEREFORE AVG OF M= 5950/140 =42.5
Given : average age of a female employees of a retail outlet is 35 years. the total no. of employees is 210.
the overall ratio of the female and male staff is 1:2 .
the total average of the employee s is 40 years.
To find: the average age of the male employees
Solution:
the overall ratio of the female and male staff is 1:2 .
Female = x
Male = 2x
Total = 3x
Average age of Female employee = 35
Total Age of x female Employees = 35x
Assume Average age of Male employee = y
Total Age of 2x Male Employees = 2xy
Total age = 35x + 2xy = x( 35 + 2y)
Average age of an employee = 40
Total age of 3x employees = 40 * 3x = 120x
Equate total age
x( 35 + 2y) = 120x
=> 35 + 2y = 120
=> 2y = 85
=> y = 42.5
Hence average age of the male employee is 42.5 years
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