1.

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher? 1. 25 years2. 30 years 3. 35 years 4. 45 years

Answer» Correct Answer - Option 3 : 35 years 

Given:

The average age of a teacher and three students is 20 years.

Formula used:

Average = Total sum of all numbers/Number of values

Calculation:

Let the age of teachers be y.

And the age of Student be x.

Difference y = (x + 20)

According to the question:

Average age = (x + x + x + y)/4 = 20 years

⇒ (3x + y) = 20 × 4

⇒ 3x + y = 80

⇒ 3x + x + 20 = 80

⇒ 4x = 60

⇒ x = 15

⇒ y =  (x + 20)

⇒ y = 15 + 20 = 35

∴ The age of the teacher is 35 years.


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