1.

The average age of 14 girls and their teacher's age is 16 year. If  the teacher's age is excluded, the average reduces by 2, what is the teacher's age?1. 44 year2. 28 year3. 30 year4. 32 year

Answer» Correct Answer - Option 1 : 44 year

Given: 

The average age of 14 girls and their teacher's is 16 years.

If the teacher's age is excluded average reduces by 2

Concept: 

Average = (Sum of all observation/number of observation)

Calculation: 

The sum of age of 14 girls and their teacher's is 

⇒ 15 × 16

⇒ 240 years

The sum of age of 14 girls is 

⇒ 14 × (16 - 2)

⇒ 14 × 14

⇒ 196 years 

Now, 

The age of teacher's is 

⇒ 240 - 196

⇒ 44 years 

∴ The required age of the teacher's is 44 years.



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