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?​

Respuesta :

Answer:

(a): 10 civil servants who were absent.

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

Step-by-step explanation:

Let;

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

[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]

Question (a):

Let the absentees be x

[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]

There are 10 absentees.

Question (b):

Servants in field only;

[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]

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