the average age of 23 boys in a class is 14. If the teachers age is included the average increases by one. What is the teachers age
Answers
Answer:
Teacher's age is 53
Step-by-step explanation:
Average - sum of total no. of observation
__________________________
no. of observations
no. of observation = 23
sum of observation = 14×23 = 322
average = 14
Teacher's age is added. Let teacher's age be x.
sum of observation = 322 + x
no. of observation = 23 + 1 =24
average = 14 + 1 = 15
Teachers age = sum of observation
_________________ = average
no. of observation
=> 322 + x
_______ = 15
25
=> x = 15 × 25 - 322
x = 375 - 322
x = 53
Step-by-step explanation:
no of observation = 23
average= 14
sum of observation = 23x14 = 322
if teachers age increases by 1
no of observation = 23+1 = 24
average= 14+1 = 15
sum of observation= 322+x
therefore, sum of observation
--------------------------- x average
no of observation
322+x
---------- x 15
24
X= 24 x 15 - 322
= 360 - 322
= 38
therefore the age of the teacher is 38