Latest CTS Aptitude Question SOLUTION: Q. The average age of 30 boys of a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher. Option A 4

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Q. The average age of 30 boys of a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher.
Option
A 40 yrs
B 42 yrs
C 45 yrs
D 46 yrs

Asked In CTS Soumya Ranjan Sahoo (10 years ago)

Solved Akanksha Mishra Read Solution (11)

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Read Solution (11) :

Akanksha Mishra  (10 years ago)

The average age of 30 boys of a class is equal to 14 yrs:
i.e Sum of all boys:30*14

include class teacher:31 candidates in a class
& avg age is:15 yr
i.e. sum of all:31*15(include class teacher)=465

so,the age of the class teacher:465-420=45yr
answer will be 45 yrs(option c)

Is this solution Helpfull? Yes (25) | No   

Dinesh thatti  (10 years ago)

avg age of 30 boys in class is 14 yrs
sum of ages of boys =30*14=>420
When the age of the class teacher is included the average becomes 15 yrs

sum of ages of boys=31*15=>465

age of Teacher=465-420=45

so answer is 45 years

Is this solution Helpfull? Yes (1) | No   

shalu singh  (10 years ago)

ans:45
14=sum of ages of boys/30
sum of ages of boys=420
15=420+x(x is the age of teacher)/31
x=45

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prathyushar  (10 years ago)

including-excluding
31*15-30*14
45

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manish chauhan  (10 years ago)

30*14=420
31*16=465
465-420=45 ans c 45

Is this solution Helpfull? Yes | No   

Vemula Charitha  (9 years ago)

ans: 45
FORMULA:
new person weight = present average+(Total number of persons+increased weight)
= 14+(31*1)
= 45

Is this solution Helpfull? Yes | No   

CHERUKURU  (9 years ago)

From given problem total age of boys=30*14=420
when teacher was included then total agge=(30+1)*15=465
teacher age is=465-420=45 years

Is this solution Helpfull? Yes | No   

shweta kumari  (7 years ago)

let the age of class teacher =x
30*14 + x = 15*31
420 + x = 465
x = 465-420 = 45years

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imran khan  (7 years ago)

45
31×15-30-14=45

Is this solution Helpfull? Yes | No   

Amit Santra  (7 years ago)

(30*14+x)/31=15
x=45

Is this solution Helpfull? Yes | No (1)  

Manjunath Aski  (6 years ago)

30*14=420
31*15=465
465-420=45years

Is this solution Helpfull? Yes | No   

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