Question

The Hcf and Lcm of two numbers are 9 and
819 respectively, one of numbers is a two-
digit number find the numbers​

Answer 1

Answer:

The numbers are 63 and 117.

Step-by-step explanation:

According To the given question,

product of two numbers = product of their HCF and LCM

SO, HCF×LCM= 9×819=7371

Here, as you can see that the unit number is 1, it states that the number cannot be a multiple of 2 or 5. The number is a odd number and must be a multiple of 9. So, if we see the possibilities can be 27 , 63.

If the number is 27, the other number is 7371÷27=273.

Factors of 27 are 3 and 9.

273=3×91.

Here, the HCF is 3 and LCM is 3×9×91=2457.

This pair is right.

Now, if we take the number 63, the other number is 7371÷63=117.

Factors of 63=3×3×7

Factors of 117=3×3×13

HCF=3×3=9

LCM=3×3×7×13=819.

This pair is right.

Hence, the numbers are 63and 117.