Question 1045433
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A school has 20 teachers, one of them retires at the age of 60 years and a new teacher replaces him, this change reduces

the average age of the staff by 2 years, the age of new teacher is:
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You are given

{{{(S+60)/20}}} - {{{(S+x)/20}}} = 2.

Here  S is the sum of ages of 19 teachers and {{{(S+60)/20}}}  is the average age of 20 teachers including the retired one.

{{{(S+x)/20}}} is the average age of 20 teachers where the retired teacher's age 60 is replaced by the new teacher's age "x".

Solve for x:

{{{60/20 - x/20}}} = 2,

{{{(60-x)/20}}} = 2,

60-x = 2*20 = 40,

x = 60 - 40 = 20.

<U>Answer</U>. The new teacher's age is 20 years.
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