Question

The LCM and HCF of two numbers are 45 and 3 respectively, their surn is 24, what is their
difference?​

Answer 1

Step-by-step explanation:

Let numbers be 3a & 3b where a,b are coprimes.

LCM x HCF = Product of numbers

=> 45 x 3 = 3a x 3b

=> ab = 15

Factorising 15, we have (a,b) as :

(1,15) or (3,5)

So the two numbers are (3,45) or (9,15)

Since sum of two numbers is given to be 24, only possible pair is (9,15).

And difference is 15 - 9 = 6

I hope this will help u.

Answer 2

Let numbers be 3a & 3b where a,b are coprimes.

LCM x HCF = Product of numbers

=> 45 x 3 = 3a x 3b

=> ab = 15

Factorising 15, we have (a,b) as :

(1,15) or (3,5)

So the two numbers are (3,45) or (9,15)

Since sum of two numbers is given to be 24, only possible pair is (9,15).

And difference is 15 - 9 = 6