Question

the average age of four players is 18.5 years. if the age of the Coach is a also included, the average age increases by 20% . the age of the coach is.?
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Answer 1

Answer:

the age of the coach is 37

Step-by-step explanation:

let the sum of the age of four players is = x

then,

x/4=18.5

x = 74

if the age of coach is included average age will be

18.5 + 20×18.5/100 = 22.2

let the age of the coach is = y

then,

18.5+y/5=22.2

y=37

Answer 2

Answer:

Age of coach = 37 years.

Explanation:

given,

Average age of four players = 18.5 years

if,

age of coach included, the average increases by 20%

to find the age of coach

solution:

let the sum of age of four players be x

average = sum of ages of players / number of players

18.5 = x / 4

18.5 × 4 = x

74 = x

this means the total age of four players = 74 years

now let the age of coach be y

if the age of coach be included the average increases by 20%

$18.5 \times \frac{120}{100} = \frac{222}{10} = 22.2$

so now the new average including the age of coach = 22.2 years

average = sum of age of players + age of coach / 5

22.2 = (74+y) / 5

22.2 × 5 = 74 + y

111 = 74 + y

37 = y

the age of coach = 37 years.

Here, we have used the concept of average.

What is average?

Average is the division of sum of observations by total number of observations.