The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q.how can i solve answer of other
Answers
Step-by-step explanation:
LCM of two prime number is always product of those two numbers
SOLUTION
GIVEN
The LCM of two prime numbers p and q ( p > q) is 221.
TO DETERMINE
The value of 3p – q
CONCEPT TO BE IMPLEMENTED
HCF :
For the given two or more numbers HCF is the greatest number that divides each of the numbers
LCM :
For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
Relation between HCF and LCM :
HCF × LCM = Product of the numbers
EVALUATION
Here the given numbers are p and q ( p > q )
LCM of two prime number p and q = 221
Since p and q are prime to each other
HCF = 1
Now we have
HCF × LCM = Product of the numbers
⇒ 1 × 221 = p × q
⇒ p × q = 221
⇒ p × q = 17 × 13
Since p > q
∴ p = 17 & q = 13
Now we have
3p - q
= ( 3 × 17 ) - 13
= 51 - 13
= 38
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