Question

check the relation ship
of 15,24 and 8,25 and 12,48​

Answer 1

Answer:

The Solution of the following questions are as follows: –

(i) 15, 24

Solution: –

Given, numbers 15, 24.

Now,

15 = 3*5 ; 24 = 8*3 = 2*2*2*3

Thus, HCF ( 15, 24 ) = 3

LCM ( 15, 24) = 3*5*2*2*2 = 120

Since, 3* 120 = 360 ; 15*24 = 360

Therefore, Product of LCM and HCF of the two numbers = Product of the two numbers

(ii) 8, 25

Solution: –

Given, numbers 8, 25.

Now,

8 = 2*2*2 ; 25 = 5*5

Thus, HCF ( 8,25 ) = 1 ; LCF ( 8, 25 ) = 2*2*2*5*5 = 200

Since, 1*120 = 200 ; 8*25= 200

Therefore, Product of LCM and HCF of the two numbers = Product of the two numbers

(iii) 12, 48

Solution: –

Given numbers 12, 48

Now,

12 = 4*3=2*2*3 ; 48 = 4*12=2*2*2*2*3.

Thus, HCF ( 12, 48 ) = 2*2*3 = 12 ; LCM ( 12, 48 ) = 2*2*2*2*3 = 48

Since, 12*48 = 12*48

Therefore, Product of LCM and HCF of the two numbers = Product of the two numbers