Question

The average age of a man and three boys is 15,if the ages of the boys are 5,8 and 10 what is the man age

Answer 1

hi there!!!

Solution:

here,

average age of 4 persons= 15.

now,

let the age if the man be x

hence,

according to the formula,

average= sum of components

no. of components.

15=5+8+10+x

4

15×4=23+x

60=23+x

60-23=x

37=x

hence,

the age of the man = 37 years.

checking:

substituting the values in the formula,

average= 23+37

4

average=60/4=15

hence,

the age of the man= 37

hope this helps! thank you for asking! ❤✌☺

Answer 2

let the age of the man be x

given ages of the 3 boys are 5,8,10

average age of 1 man and 3 boys is 15

formula

$\frac{sum \: of \: all \: observation \: }{number \: of \: all \: observation} = average$

$\frac{5 + 8 + 10 + x}{4} = 15$

$\frac{23 + x}{4} = 15$

$23 + x = 60$

$x = 60 - 23$

$x = 37$

The age of the man is 37 years