THE average age of 5. officers in a department is 32 years. If the age of supervisor is added the average increased by 1 what' is the supervisor age!?
: 30
: 32
: 40
: 49
can any one explain by step by step
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Given avg age of 5 officers is 32
let the sum of their ages be x
now , avg age = x/no of officers
x/5=32
or x= 160 years
when the age of supervisor is added, new avg=33
Let the age of supervisor be y
then, (160+y)/6= 33
160/6 + y/6= 33
y/6= 33- 160/6
y/6= 198/6-160/6
y/6= 38/6
y =38/6×6
y = 38
hence,the age of supervisor is 38 years
Step-by-step explanation:
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