The average age of 30 boys in a class is 15 years. if we include the age of two teachers the average age increases by 1. find the sum of ages of the two teachers

Mathematics
1

The average age of 30 boys in a class is 15 years. if we include the age of two teachers the average age increases by 1. find the sum of ages of the two teachers.

2

Step 1:

Total age of students = 30 × 15 = 450

Step 2:

⇒ Total age with teacher = 31 × 16 = 496

Step3:

⇒ Age of teacher = 496 – 450= 46 years.

Answer: 46

3

Let’s suppose the sum of ages of 30 boys is S.

Then, according to the given information, we can write:

S/30 = 15

Multiplying both sides by 30, we get:

S = 450

Now, let’s include the age of two teachers. Suppose the sum of their ages is T.

The new average is given as:

(S+T)/32 = 16

Substituting the value of S, we get:

(450+T)/32 = 16

Multiplying both sides by 32, we get:

450+T = 512

Subtracting 450 from both sides, we get:

T = 62

Therefore, the sum of ages of the two teachers is 62 years.