A school has 20 teachers. one of the teacher retires at the age of 60 years and a new teacher replaces him. this reduces the average age of the staff by 2 yrs. then the age of new teacher is?
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we will call the group of the other 19 teachers = x
(x + 60) / 20 = average (which we will call y)
so
(x + 60) / 20 = y
call the new teacher z
(x + z) / 20 = y - 2
x + z = 20y - 40
x + 60 = 20y
x + z + 40 = 20y
so for
x + 60 = 20y
and
x + z + 40 = 20y
then
z + 40 = 60
60 = z + 40
20 = z
the new teacher is twenty years old
(x + 60) / 20 = average (which we will call y)
so
(x + 60) / 20 = y
call the new teacher z
(x + z) / 20 = y - 2
x + z = 20y - 40
x + 60 = 20y
x + z + 40 = 20y
so for
x + 60 = 20y
and
x + z + 40 = 20y
then
z + 40 = 60
60 = z + 40
20 = z
the new teacher is twenty years old
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you have to know the average ages of the other teachers to calculate.
Otherwise you cannot know the age of the new teacher though you could probably express it as a variable in a equation.
Otherwise you cannot know the age of the new teacher though you could probably express it as a variable in a equation.
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missing information
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not enough info to complete
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x + 60 = 20y
x + z + 40 = 20y
x + 60 = x + z + 40
x + 60 - x - 40 = z
20 = z
z = 20
x + z + 40 = 20y
x + 60 = x + z + 40
x + 60 - x - 40 = z
20 = z
z = 20
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Need more info