Question

Hlo do this question plz

out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .

a)How many civil servants were absent ?
B)How many civil servants were working in the field only?​

Answer 1

(a): 10 civil servants who were absent.

(b): 15 civil servants are in field only.

Explanation:

Let;

• Civil servants in office be o
• Civil servants in field be f

`{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}`

Question (a):

Let the absentees be x

`{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}`

There are 10 absentees.

Question (b):

Servants in field only;

`{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}`