Question

The average age of a group of person going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average becomes 15.5 years. Find the number of persons initially going for picnic.

Answer 1

hey there!!

let the no. of person going on the picnic be x

than avg. age of x = 16

now , 20 persons added

than, x+20

x + 15(20)/20+x = 15.5

x + 300/20+x =15.5

x+300 = 15.5x + 310

14.5x = 10

x = 145

Answer 2

$<font color ="red">Hello Friends!!$

Answer :-

Let the number of people go in picnic be x.

Therefore,

The average number of x = 16

The 20 people added to the group

So,

It becomes

➡️ x + 20

ATQ

$= > \frac{x + 15(20)}{20 + x} = 15.5$

$= > \frac{x + 300}{20 + x} = 15.5$

$= > x + 300 = 15.5 + 310$

$= > 14.5 = 10$

$= > 14.5 = 10 = > x = \frac{14.5}{10} = 145$
Therefore,

X = 145

Therefore,

145 people go on picnic.

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Ansh as ans81