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# Given that kp = 48, what is the value of k + p?

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Math Expert
Joined: 02 Sep 2009
Posts: 50651
Given that kp = 48, what is the value of k + p?  [#permalink]

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03 Dec 2017, 22:50
00:00

Difficulty:

55% (hard)

Question Stats:

48% (01:04) correct 52% (01:06) wrong based on 50 sessions

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Given that kp = 48, what is the value of k + p?

(1) k and p are consecutive even integers.

(2) k and p are both positive integers.

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Re: Given that kp = 48, what is the value of k + p?  [#permalink]

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03 Dec 2017, 23:13
C

From st1 we can conclude k and p can be 6&8 or -6&-8. Hence k+p=14 or -14.

From st2 we have no clear information about k and p. They can be any value like 6&8 or 4&12. Hence insufficient.

Combining we have k and p have to be 6 and 8 only. Note that the specific value of k and specific value of p is not important. Hence sufficient.

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Re: Given that kp = 48, what is the value of k + p?  [#permalink]

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05 Dec 2017, 15:55
Statement 1: K and P are consecutive even integers. But no information on whether positive or negative integers. InSufficient

Statement 2: k and p are positive gives us more than 1 set of values. Insufficient.

Statement 1 and 2 together: K and P are consecutive even integers and also positive integers. This gives us only one answer 6 and 8. Hence Sufficient.

Ans is C

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Re: Given that kp = 48, what is the value of k + p? &nbs [#permalink] 05 Dec 2017, 15:55
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