Question

The HCF of two number is 8 and there LCM is 96. If one number is 24. Find the other number

Answer 1

Answer:

Answer is

16

Step-by-step explanation:

We know that H.C.F×L.C.M=product of the numbers.

Let x be the other number

⇒8×48=24×x

⇒24x=8×48

⇒x=248×48=8×2=16

∴ the other number is 16

Answer 2

Answer :-

• The other number = 32.

To find :-

• The other number.

Step-by-step explanation :-

• Here, it is given that the HCF of two numbers is 8 and their LCM is 96. We have to find the other number if one of the numbers is 24!  

We know that :-

$\bigstar \: \underline{\boxed{\sf Product_{(two \: numbers)} = HCF \times LCM}}$

Let :-

• The other number be "x".

Substituting the given values in this formula :-

$\longrightarrow \bf x \times 24 = 8 \times 96$

$\longrightarrow \bf 24x = 768$

$\longrightarrow \bf x = \cancel{\dfrac{768}{24}}$

$\longrightarrow \bf x = 32$

Hence :-

• The other number is 32.

________________________________

Verification :-

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.  

LHS :

$\longrightarrow$ x × 24  

$\longrightarrow$ 32 × 24

$\longrightarrow$ 768

RHS :

$\longrightarrow$ 8 × 96

$\longrightarrow$ 768

LHS = RHS

Hence verified!!

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