| 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? |
A) 143 cm
B) 159 cm
C) 144 cm
D) 160 cm
Correct Answer: B
Solution :
| Given, average height of 16 students = 142 cm |
| Let height of teacher be \[x\,\,cm.\] |
| Then, \[\frac{16\times 142+x}{17}=142+1\] |
| \[\Rightarrow \]\[\frac{2272+x}{17}=143\] |
| \[\Rightarrow \]\[x=143\times 17-2272\] |
| \[\Rightarrow \]\[x=2431-2272\] |
| \[\Rightarrow \] \[x=159\,\,cm\] |
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