Question: The average height of 16 students in a class is 142 cm. If the height of the teacher is added the average increases by 1 cm, then what is the height of the teacher?
Options:
A) 143 cm
B) 159 cm
C) 144 cm
D) 160 cm
Show Answer
Answer:
Correct Answer: B
Solution:
- Given, average height of 16 students = 142 cm
Let height of teacher be $ xcm. $
Then, $ \frac{16\times 142+x}{17}=142+1 $
$ \Rightarrow $ $ \frac{2272+x}{17}=143 $
$ \Rightarrow $ $ x=143\times 17-2272 $
$ \Rightarrow $ $ x=2431-2272 $
$ \Rightarrow $ $ x=159cm $