Question

12. If HCF(a,8)=4,LCM(a,8)=24,
then a is equal to *

8
10
12
14​

Answer 1

Answer:

so there is your answer.

Answer 2

Given:

• HCF (a, 8) = 4

This means that 2 terms 'a' and 8 have their HCF as 4

• LCM (a, 8) = 24

This means that the same 2 terms have their LCM as 24

To find:

• Value of 8 = ?

Solution:

There is a relation between HCF, LCM and the product of 2 numbers which will be used here. That is:

HCF × LCM = Product of 2 numbers

Substitute the given values in the above formula.

➲ 4 × 24 = 8 × a

⇒ 96 = 8a

⇒ a = 96 ÷ 8

⇒ a = 12

∴ The value of a = 12

REMEMBER:

• The identity used here is applicable only for 2 numbers and not 3 or more numbers.