average age of 30 students is 13 yrs.When the age of the teacher is added to them,average becomes 14 . What is the age of the teacher
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Answer:
Age of teacher is 44 years
Step-by-step explanation:
Let the age of teacher is x year
Average Age of students including the teacher = (Sum of age of all students+ Age of teacher) ÷ (total number of students+ total number of teachers)
14 =(13×30+x ×1)÷(30+1)
14 = (390 + x) ÷ 31
14 × 31 = 390 + x
435 = 390 + x
x = 434 - 390 = 44 years
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