Average age of 36 students in a group is 14, years. When teacher's age is included to it, averag

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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 what is the teacher's age in $years$ ?

A

$31$

B

$36$

C

$51$

D

$56$

Solution

Average age of $36$ students $=14$ years

Let teacher's age be $x$ years.

$\frac{14 \times 36+x}{37}=14+1=15$

$14 \times 36+x=15 \times 37$

$x=15 \times 37-14 \times 36=51$

Standard 13

Quantitative Aptitude

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