Question

For each of the following pairs of numbers, verify that product of numbers is
equal to the product of their HCF and LCM.
(a) 10, 15
(b) 35, 40
(c) 32, 48​

Answer 1

Answer:

(a)  Numbers = 10,15

        10 = 5*2

        15 = 5*3

so , LCM = 5*2*3

               = 30

     HCF = 5

THEREFORE ,

                 HCF*LCM = product of numbers

                30 * 5 = 10 * 15

                 150 = 150

(b)  Numbers = 35 , 40

            LCM = 280

            HCF = 5

Therefore ,

              35*40 = 56*5

               1400 = 1400

(c)  Numbers = 32 , 48

            LCM = 96

          HCF = 16

Therefore ,

                   32 * 48 = 96 * 16

                    1536 = 1536

       

Step-by-step explanation:

Please follow and make me brainliest

Answer 2

Answer:

Please see down

Step-by-step explanation:

a) The product of 10 and 15 is 150.

The LCM of 10 and 15 is 30

The HCF of 10 and 15 is 5

30*5= 150

So, the product of 10 and 15 is equal to the product of its LCM and HCF

b) The product of 35 and 40 is 1400

The LCM of 35 and 40 is 280

The HCF of 35 and 40 is 5

280*5= 1400

c) The product of 32 and 48 is 1536

The LCM of 32 and 48 is 96

The HCF of 32 and 48 is 16

96*16= 1536

Hence, it is proved that the products of the numbers is equal to the product of their HCF and LCM.