Question

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

Answer 1

Step-by-step explanation:

LCM of two prime number is always product of those two numbers

Answer 2

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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