Question

the average age of 3boys is 10 what will be their average age after two years​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

• Let the ages of boys be x, y and z.

We know that:-

• Average = Sum of Input/ Number of Input
• Where sum of input will be x+y+z
• Where number of input is 3.

$\sf{\frac{x+y+z}{3} = 10}$

$\sf{x+y+z= 3 \times 10}$

$\boxed{\bf{x+y+z = 30}}$_______________________________(1)

After two years:-

• The first age will be x+2
• The second age will be y+2
• The third age will be z+2

Formulation:-

$\frac{x+2+y+2+z+2}{3} = \sf{Average}$

Taking common:-

$\frac{(x+y+z)+2+2+2}{3}$

Replacing the sum as (1),

$\sf{\frac{36}{3} = Average}$

So, average of the boys after 2 years will be 12.

Note:-

$\sf{Average = \frac{Sum \ of \ terms}{Number \ of \ terms}}$

• This is the general formula to find Average in a given sequence.
• Mean is also known as Average of numbers.