Question

The average age of a teacher 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?
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Answer 1

ANSWER

Let the age of each student be x years

Then, the age of teacher will be (x+20) years 

Mean age =4(x+20)+3x

20=4(4x+20)

⇒x=15

Hence, age of the teacher =35 years

Answer 2

Answer:

Step-by-step explanation:

Let the students' age be 3x.

Let the teacher's age be x+20.

$20 = \frac{3x+x+20}{4} \\20 = \frac{4x+20}{4} \\80 = 4x+20\\4x = 80-20\\4x = 60\\x = 15$

∴ Each of the three children is 15 years old

Teacher's age = x +20

                        = 15 +20

                        = 35

Hence, the teacher is 35 years old

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