Question

3.If HCF (a, 8) = 4, LCM (a, 8) = 24. Find ‘a”.​

Answer 1

Step-by-step explanation:

HCF * LCM equal to product of the two no

4 * 24 equal to a*8

96 equal to a*8

96/ 8 equal to a

12 equal to a

so a is equal to 12

Answer 2

Answer :-

• a = 12

To Find :-

• The value of a.

Given :-

• HCF of ( a, 8 ) = 4

• LCM of ( a, 8 ) = 24

Step By Step Explanation :-

In this question we already know that HCF of ( a, 8 ) = 4 and LCM of ( a, 8 ) = 24 . We need to find the value of a.

We know that ⤵

$\boxed{ \underline{ \bf{ \red{HCF \times LCM = 1st~Number \times 2nd~Number}}}}$

So let's do it !!

By substituting the values †

$\implies\sf4 \times 24= 8 \times a \\ \\ \implies\sf96 = 8a \\ \\ \implies\sf \cancel\cfrac{96}{8} = a \\ \\ \implies\bf12 = a$

Therefore a = 12

Verification :-

L.H.S. ⤵

By substituting the value of a

=> 8 × 12

=> 96

R.H.S. ⤵

=> 24 × 4

=> 96

L. H. S. = R. H. S.

Hence verified.

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