The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q. (a) 4 (b) 28 (c) 38 (d) 48
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Given : The LCM of two prime numbers p and q is 221
(p > q)
To Find : value of 3p – q
Solution:
two prime numbers p , q
HCF (p , q) = 1 as HCF of two different prime numbers is 1
LCM * HCF = p * q
=> 221 * 1 = pq
=> pq = 221
221 = 1 * 221 = 13 * 17
1 and 221 are not prime numbers
13 and 17 are prime numbers
p > q
=> p = 17 and q = 13
3p - q
= 3(17) - 13
= 51 - 13
= 38
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