the lcm of two prime numbers p and q is 247 then 5p-2q =
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Answer:
247 is the ans to this Q. plz like
SOLUTION
GIVEN
The LCM of two prime numbers p and q is 247
TO DETERMINE
The value of 5p - 2q
EVALUATION
Here it is given that the LCM of two prime numbers p and q is 247
Let us assume that p > q
Since p and q are prime numbers
So HCF ( p, q) = 1
Now we have
Product of the numbers = HCF × LCM
⇒ p × q = 1 × 247
⇒ p × q = 247
⇒ p × q = 19 × 13
Since we have assumed p > q
∴ p = 19 , q = 13
Now 5p - 2q
= ( 5 × 19 ) - ( 2 × 13 )
= 95 - 26
= 69
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