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If the least common multiple of two prime numbers x and y is 10, where

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If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 08 Jun 2016, 10:08
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (00:52) correct 16% (00:56) wrong based on 186 sessions

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If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

A. 7
B. 9
C. 11
D. 12
E. 21
Spoiler: OA

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Re: If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 08 Jun 2016, 10:19
3
LCM of two prime numbers will basically be multiple of those numbers. LCM = 10 = 2*5, both of which are prime.

Now we know x>y, so x=5 and y =2.
2x+y = 2*5 + 2 = 10 + 2 = 12. Hence D.
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Re: If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 08 Jun 2016, 10:30
Bunuel wrote:
If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

A. 7
B. 9
C. 11
D. 12
E. 21


Since both are prime numbers there are only two factors for each 1 and the number itself.

LCM of two prime numbers = multiplication of the numbers

10= 2*5 or 5*2

But its given that x>y, hence x=5 and y =2

2x+y= 2*5 +2= 12

D is the answer
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Re: If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 09 Jun 2016, 03:54
Bunuel wrote:
If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

A. 7
B. 9
C. 11
D. 12
E. 21


LCM (x,y) = 10 and both x an y are prime.
The only values of x and y can be 5 and 2 (x = 5 and y = 2)

2x + y = 2*5 + 2 = 12

Correct Option: D
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Re: If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 29 Apr 2017, 22:00
Excellent Question.
Here is what i did on this one ->
Since x,y are primes and x>y---->
LCM(x,y) => Product of x*y

Hence 10=xy
10=> 2*5

Thus x=5 ans y=2

So 2x+y=> 12

SMASH THAT D
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Re: If the least common multiple of two prime numbers x and y is 10, where  [#permalink]

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New post 29 Jun 2019, 09:56
Top Contributor
Bunuel wrote:
If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

A. 7
B. 9
C. 11
D. 12
E. 21


2 and 5 are the only PRIME numbers with an LCM of 10
Since we're told x > y, we can conclude that x = 5 and y = 2

So, 2x + y = 2(5) + 2 = 12

Answer: D

Cheers,
Brent
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Re: If the least common multiple of two prime numbers x and y is 10, where   [#permalink] 29 Jun 2019, 09:56
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