Question

10. Verily for the two numbers 10 and 15 product of numbers = their HCF×
their LCM. ​

Answer 1

Given :-

• First number = 10
• Second number = 15

To Verify :-

Product of numbers = H.C.F x L.C.M... eq(i)

Solution :-

First of all, we will find the H.C.F and L.C.M. of 10 and 15,

So,by Euclid's division algorithm,

=> 15 = 10 x 1 + 5

=> 10 = 5 x 2 + 0

Therefore, the H.C.F. of 10 and 15 is 5.

Now for L.C.M, we know that,

=> 15 = 3 x 5

=> 10 = 5 x 2

Since, 5 is common

Therefore,

L.C.M of 15 and 10 = 5 x 2 x 3 = 30

Now,putting the value in equation to be verified, i.e. equation (i), we get

=> 15 x 10 = 30 x 5

=> 150 = 150

Hence, verified.

Answer 2

here is your answer mate

hope it's helpful thank you