Question

The Lcm of two numbers is 96 and their hcf is 8if one of the number is 32 find the other number

Answer 1

Answer:

The other number is 24.

Step-by-step explanation:

Given :-

• The LCM of two numbers is 96 and their HCF is 8.
• One of the number is 32.

To find :-

• The other number.

Solution :-

HCF = 8

LCM = 96

★Formula Used :

${\boxed{\sf{HCF\times\:LCM=Product\:of\:two\: numbers}}}$

Let the 1st number be x and the 2nd number be y.

• x = 32 (Given)

According to the formula ,

HCF × LCM = 1st no. × 2nd no.

→ 8 × 96 = x × y

→ 8 × 96 = 32 × y

→ 32y = 8×96

→ y = (8×96)/32

→ y = 24

Therefore, the other number is 24.

Answer 2

Given :

1. LCM of two number is 96
2. HCF of two number is 8
3. 1st numbers is 32

To find : the second number

Solution :

Let ,

1. 1st number = 32 = x
2. 2nd number = y

Formula to be used :

=>$LCM * HCF = x*y$

$= > 96*8=32y\\ = > y=\frac{96*8}{32} =24$

Hence the second number is 24 .

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