Question

the average of 20 numbers is 15 and that of the first five is 12.Accordingly, what is the average of the remaining numbers?
A) 16
B) 15
C) 14
D) 13 ​

Answer 1

Answer:

a)16

Step-by-step explanation:

given avg of 20 numbers is 15

sum of 20 numers is 20*15= 300

and avg of first five numbers is 12

sum of first 5 numbers is 12*5= 60

sum of remaining 15 numbers is 300-60 is 240

avg of remaining 15 numbers is 240/15 is 16

so the avg of remaining 15 numbers is 16

Answer 2

$\huge{\underline{\underline{\mathfrak{Answer :}}}}$

$\longrightarrow$ Option - A)

$\huge{\underline{\pink{\tt{Given,}}}}$

• The Average of 20 Numbers is 15.
• The Average of First Five Number is 12.

$\huge{\underline{\pink{\tt{To \ Find,}}}}$

• The Remaining Numbers of Average.

$\huge{\underline{\pink{\tt{Solution :}}}}$

$\underline{\mathfrak{\orange{According\:to\:the\:First\:Condition:}}}$

• Average of 20 Numbers is 15

$\therefore \ \mapsto$ Sum of the 20 Numbers is 15 × 20 = $\boxed{\sf{300}}$

$\underline{\mathfrak{\orange{According\:to\:the\:Second\:Condition:}}}$

• Average of First Five Number is 20

$\therefore \ \mapsto$ Sum of First Five Number is 20 × 5 = $\boxed{\sf{60}}$

Now Find the Remaining Numbers :

$\bigstar \boxed{\green{\tt{\small{Sum\:of\:Remaining\:Number\:Average = Sum\:of\:the\:20\:Number - Sum\:of\:the\:First\:Five\:Number}}}}$

$\longrightarrow$ Sum of Remaining Numbers = 300 - 60 = 240

Remaining Numbers Average :

$\implies \sf{Average\:of\:Remaining\:Number = \dfrac{240}{15}}$

$\implies \boxed{\sf{Average\:of\:Remaining\:Number = 16}}$

$\rule{200}2$