The average of 8 numbers is 20 . The average | vedclass

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Question

Sum of $8$ numbers $=8 	imes 20=160$ ....$(1)$

Sum of first $2$ numbers $=2 	imes 15 \frac{1}{2}=31$....$(2)$

Sum of next $3$ numbers $=3 	im

Vedclass · Accepted Answer

$25$

Vedclass · Answer

Sum of $8$ numbers $=8 	imes 20=160$ ....$(1)$

Sum of first $2$ numbers $=2 	imes 15 \frac{1}{2}=31$....$(2)$

Sum of next $3$ numbers $=3 	imes 21 \frac{1}{3}=64$ ....$(3)$

Sixth number = Seventh number $- 4$ ....$(4)$

Sixth number = Eighth number $- 7$ ....$(5)$

$(1)$ $-(2)-(3) \Rightarrow$ $6^{th}$ number $+$ ${7}^{th}$ number $+$ ${8}^{th}$ number

$=160-(31+64)=160-95=65$ ....$(6)$

$(6) \Rightarrow$($8^{th}$ number $-7$)+($8^{th}$ number $-3$)+($8^{th}$ number $)=65$

$3 	imes$ $8^{th}$ number $=65+7+3=75$

$8^{th}$ number $=25$

The average of $8$ numbers is $20 .$ The average of first two numbers is $15 \frac{1}{2}$ and that of next three is $21 \frac{1}{3}$. If the sixth number is less than the seventh and eighth numbers by $4$ and $7$ respectively, then the eighth number is

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