Question

The mean age of five basketball players is
24 years.
(a) If the mean age of four of them is
23 years, find the
find the age of the fifth player.
(b) Find the mean age of these players after
three years.​

Answer 1

Answer:

(a) 28 years

(b) 27 years

Step-by-step explanation:

(a)

let x be the sum of the ages of all the 5 players,

then according to question

$\frac{x}{5} = 24$

or

$x = 120$

Now it's given that

$\frac{x - y}{4} = 23$

where, y is the age of the fifth player

so

$\frac{120 - y}{4} = 23$

$y = 120 - (4 \times 23)$

$y = 120 \: - \: 92$

$y = 28 \: years$

(b)

After 3 years, each player will be 3 years older

so, mean age of these players after 3 years is

$\frac{120 + (3 \times 5)}{5} = 27 \: years$