Question

There are 8 teachers in a school. When a 35 year old teacher 4. was transferred and another teacher joined, the average age WS increased by 2 years. How old is the new teacher?
pls give me step by step​

Answer 1

$\large\underline\mathrm\pink{Question:-}$

There are 8 teachers in a school. When a 35 year old teacher was transferred and another teacher joined, the average age ws increased by 2 years. How old is the new teacher?

$\large\underline\mathrm\green{given:-}$

• There are 8 teachers in a school. When a 35 year old teacher was transferred and another teacher joined, the average age ws increasd by 2 years.

$\large\underline\mathrm\orange{to \: find:-}$

• how old is the new teacher

$\large\underline\mathrm\purple{solution:-}$

let the average age be X

no of teachers = 8

then, total age of teacher = 8 × X = 8x

now,

35 years old teacher was transferred

• new total age = 8x - 35 (7 teachers)

after new teacher was added

• new total age = 8x - 35 + age of new teacher

now average is increased by 2 :-

• average age = X + 2
• no of teachers = 8
• then total age = 8(X + 2)

now,

= 8x - 35 + age of new person = 8 (X + 2)

= 8x - 35 + age of new teacher = 8x + 16

= age of new teacher = 35 - 16 = 51

= so therefore age of new teacher is 51

Answer 2

Answer:

The age of the new teacher is 51 years.

Step-by-step explanation:

Given:

There are 8 teachers in the school. When a 35-year-old teacher 4. was transferred and another teacher joined, the average age WS increased by 2 years.

To find:

How old is the new teacher?

Let the average of the 8 teachers before their transfer be 'P' years.

Therefore, average age = $\frac{P}{8}$.

Let the sum of the ages of the 7 teachers be 'x' years and let the age of the new teacher be 'y' years.

One teacher with age 35 is transferred to another school.

The average age of 8 teachers will be increased by 2 years.

.'. $\frac{x+35}{8}=P$ and $\frac{x+y}{8}=P+2$

$\frac{x+35}{8}=\frac{x+y}{8}-2$,

=> $x+35=x+y-16$,

=> 35 = y - 16,

=> y = 35+16,

=> y= 51

Hence, the age of the new teacher is 51 years.

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