Question

the LCM of two prime number x and y ( x ,y )is 77 , find the 2x-3y a) 4. b)7. c)5. d)1​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The LCM of two prime number x and y ( x > y ) is 77 , find the 2x - 3y

a) 4

b) 7

c) 5

d) 1

EVALUATION

Here it is given that the LCM of two prime numbers x and y is 247

Now by the given x > y

Since x and y are prime numbers

So HCF ( x , y) = 1

Now we have

Product of the numbers = HCF × LCM

⇒ x × y = 1 × 77

⇒ x × y = 77

⇒ x × y = 11 × 7

Since x > y

∴ x = 11 , y = 7

Now 2x - 3y

= ( 2 × 11 ) - ( 3 × 7 )

= 22 - 21

= 1

FINAL ANSWER

Hence the correct option is d) 1

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Answer 2

Answer:

To find : 2x-3y

given : LCM of prime numbers  x and y is 77

Since x and y are prime numbers

therefore,  HCF ( x , y) = 1

Now we have

Product of the numbers = HCF × LCM

⇒ x × y = 1 × 77

⇒ x × y = 77

⇒ x × y = 11 × 7

let x = 11 and y = 7

2x -3y = 2(11) - 3(7)

          = 22 -21

          = 1

hence option d is correct.