thєrє αrє 8 tєαchєrs ín α schσσl . whєn α 35 чєαr σld tєαchєrs wαs trαnfєєrєd αnd αnσthєr tєαchєr jσínnєd thє αvєrαgє αgє wαs íncrєαsєd вч 2 чєαr. lσw σld ís thє nєw tєαchєr
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Average =(Total quantity )/Number of quantity
So
Let the average age of teachers by x
Let y be the age of teacher that joined
So
Total age of 8 teachers age 35 year old one did not leave was = 8x
When 35 years old leave and new one joined then
Total sum of ages = 8x -35 + y
Now
The average of this increased by 2
So
(8x - 35 + y) /8 = x +2
8x - 35 +y = 8x +16
-35 + y =16
y = 35 + 16
y = 51
So
A 51 year old teacher joined the school
So
Let the average age of teachers by x
Let y be the age of teacher that joined
So
Total age of 8 teachers age 35 year old one did not leave was = 8x
When 35 years old leave and new one joined then
Total sum of ages = 8x -35 + y
Now
The average of this increased by 2
So
(8x - 35 + y) /8 = x +2
8x - 35 +y = 8x +16
-35 + y =16
y = 35 + 16
y = 51
So
A 51 year old teacher joined the school
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