In a set of prime and composite numbers, the | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Let the average of prime number be $P$ and average of composit number be $C.$ Again the number of prime number be $x$, then the number of composite nu

Vedclass · Accepted Answer

$\frac{7}{13}$

Vedclass · Answer

Let the average of prime number be $P$ and average of composit number be $C.$ Again the number of prime number be $x$, then the number of composite number be $2 x$

$\frac{P x+2 C x}{3 x}=9 \Rightarrow P+2 C=27$

$\frac{2 P x+C x}{3 x}=11 \Rightarrow 2 P+C=33$

On adding eq. (i) and (ii)

we get $P+C=20$ and on Subtracting eq. (i) from (ii)

we get $P-C=6$

Therefore $P=13$ and $C=7 \Rightarrow$ thus $=\frac{C}{P}=\frac{7}{13}$

Similar Questions

The average age of a group of $18$ persons is $32$ $years$ and $6 \,months.$ If two persons of age $65\, years$ each and one person of age $50\, years$ leave the group, the average age of the remaining persons in the group will be (in $years$)

Nine friends have a dinner in a hotel. Eight of them spent $Rs.\, 12$ each on their meals and the ninth spent $Rs. \,16$ more than the average expenditure of all the nine. Find out the total money in $Rs.$ spent by them?

After replacing an old member by a new member, it was found that the average age of five members of a club is the same assit was $3 \,year$ ago. The difference between the ages of the replaced and the new member is ? (in $year$)

Visitors to a show were charged $Rs.\,15.00$ each on the first day, $Rs.\, 7.50$ on the second and $Rs.\, 2.50$ on the third day. Visitors total attendance for three days were in the ratio $2: 5: 13$ . Find out the average charge per visitor for the entre show. (in $Rs.$)

The average of three consecutive odd numbers is $12$ more than one-third of the first of these numbers. What is the last of the three numbers ?