Question

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

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Answer 1

Given data:

The LCM of two prime numbers p and q (p > q) is 221

To find:

The value of 3p - q

Step-by-step explanation:

First we prime factorize the number.

Here, 221 = 13 × 17

Simply 221 has two prime factors 13 and 17.

Here, 17 > 13.

Then according to the question, p = 17 and q = 13.

Then 3p - q = 3 (17) - 13 = 51 - 13 = 38

Final answer:

The value of 3p - q is 38.