Question

can two numbers have 20 as their HCF and 150 as their LCM? answer is No, please solve

Answer 1

HCF = 20 and LCM = 150

Let the two numbers be 20a and 20b

We know that,

LCM × HCF = product of two numbers

20 × 150 = 20a × 20b

3000 = 400ab

4ab = 30

As 4 does not divide 30 exactly, the two numbers are not integers.

So, two numbers can not have 20 as their HCF and 150 as their LCM.

Answer 2

Answer:

No

Because HCF is not divisible by LCM .

Hope it helps you