Question

The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q.​

Answer 1

Answer:

3p-q=18

Step-by-step explanation:

LCM of  prime no.s is their product

Which means,

p*q=221

factorising 221 we have,

221 =13*17

which means the two prime no.s p and q are 17 and 13 respectively(p=17 and q=13 since p>q and 17>13)

3*p - q =3*17-13

51-13

=38

hope it helped you (brainliest?)

Answer 2

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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