The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?  Choose the correct choice from the following answers.
A) 50
B) 49
C) 53
D) 54
E) 51
average age of 36 students in a group is 14   Sum of the ages of 36 students = 36 × 14   When teacher's age is included to it, the average increases by one   =&gt; average = 15   Sum of the ages of 36 students and the teacher = 37 × 15   Hence teachers age   = 37 × 15 - 36 × 14   = 37 × 15 - 14(37 - 1)   = 37 × 15 - 37 × 14 + 14   = 37(15 - 14) + 14   = 37 + 14= 
<gadget id="calculator">37 + 14</gadget>
<output>51</output>
51   Answer is 51.
<result>E</result>
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?