Question

T
81.
homas
The average age of 35 students in a class
is 16 years. The average age of 21
students is 14 years. What is the average
age of the remaining 14 students ?
(a)
15 years
(b)
17 years
(c)
18 years
(d)
19 years​

Answer 1

$<marquee>☺HLO MATE☺</marquee>$

$\mathfrak\red{given:}$

average age of 35 students in a class=16 years

average age of 21 students=14 years

$\mathfrak\red{to\:find:}$average age of remaining students

$\huge\mathfrak\red{SoLuTiOn...!!!!}$

let, sum of age of 21 students be 'x'

and sum of age of 14 students be 'y'

so,

average age of 21 students=x/21=14

x=294

average age of class=(x+y)/35=16

16=(294+y)/35

560=294+y

y=560-294=266

y=266

y=sum of ages of 14 students....

average of 14 students=y/14=266/14=19 years

$\huge\mathfrak\red{ANSWER...!!!!}$

$\mathcal\blue{average \:age\: of\: 14 students\: will\: be \:19 \:years}$

$\mathcal\red{d)19 years}$is the correct option...

hope it helps!!☺

Answer 2

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ANSWER:

Average age of 35 students in a class = 16 years

Average age of 21 students = 14 years

Average age of remaining students:

Let, sum of age of 21 students be 'x'

and sum of age of 14 students be 'y'

So,

Average age of 21 students

                   = x/21=14

                x = 294

Average age of class= (x+y)/35

                                    = 16

  16 = (294+y)/35

560 =294+y

    y =560-294=266

   y  = 266

y=sum of ages of 14 students

Average of 14 students=y/14=266/14=19 years

(d) 19 is the correct option...

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