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If x represents the Least Common Multiple of 12 and 18 and y represent

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Bunuel
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If x represents the Least Common Multiple of 12 and 18 and y represent [#permalink] New post   20 May 2018, 11:39
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87% (00:54) correct 13% (01:09) wrong based on 92 sessions
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If x represents the Least Common Multiple of 12 and 18, and y represents the Greatest Common Factor of 12 and 18, what is the value of x−y ?

A. 20
B. 24
C. 30
D. 34
E. 210
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C
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EgmatQuantExpert
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Re: If x represents the Least Common Multiple of 12 and 18 and y represent [#permalink] New post   20 May 2018, 12:15
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Solution



Given:
• x = LCM (12, 18)
• y = GCF (12, 18)

To find:
• What is the value of x - y

Approach and Working:
• We can write 12 = 2 * 2 * 3
• Similarly, 18 = 2 * 3 * 3
• Therefore, LCM (12, 18) = x = 2 * 3 * 2 * 3 = 36
• Similarly, GCF (12, 18) = y = 2 * 3 = 6
• Hence, the value of x – y = 36 – 6 = 30

Hence, the correct answer is option C.

Answer: C
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Re: If x represents the Least Common Multiple of 12 and 18 and y represent [#permalink] New post   21 May 2018, 08:46
LCM of 12 and 18 is 36. GCD of 12 and 18 is 6.

So 36-6 = 30.
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Re: If x represents the Least Common Multiple of 12 and 18 and y represent [#permalink] New post   21 May 2018, 17:18
If x represents the Least Common Multiple of 12 and 18, and y represents the Greatest Common Factor of 12 and 18, what is the value of x−y ?

Step 1:
Least common multiple of 12 and 18 = 36
X=36

Step 2:
Greatest common factor of 12 and 18 = 6
Y=6

Solution:
x-y = 36-6 = 30

Ans: C
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gmatclubot
Re: If x represents the Least Common Multiple of 12 and 18 and y represent [#permalink]
21 May 2018, 17:18
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