For positive integers p, q, and r, what is the ratio of p to the sum

Question

For positive integers p, q, and r, what is the ratio of p to the sum of q and r?

(1) The average of p, q, and r is 6p.
(2) p = 24

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bv8562 · Answer

For positive integers p, q, and r, what is the ratio of p to the sum of q and r?

(1) The average of p, q, and r is 6p.
(2) p = 24

Solution:

We need to find:  \frac{p}{q+r}=?

(1) The average of p, q, and r is 6p.

\frac{p+q+r}{3} = 6p

p+q+r=18p

q+r=17p

\frac{q+r}{p}=17

\frac{p}{q+r}=\frac{1}{17}

Sufficient. Eliminate B, C, and E.

2) p = 24

Knowing only the value of p is not sufficient to answer the question. Hence, its A.

$!vakumar.m · Answer

For positive integers p, q, and r, what is the ratio of p to the sum of q and r?
we need to find the ratio p/(q+r)

(1) The average of p, q, and r is 6p.
the average -> \frac{ (p+q+r)}{3 }= 6p 
=> p+q+r = 18p
=>  \frac{p}{(q+r)} = \frac{1}{17} 
Sufficient
(2) p = 24
Since no information on q and r is given so we cannot determine the ratio
Not sufficient
Answer A

For positive integers p, q, and r, what is the ratio of p to the sum

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