Question

the HCF of two number is 145 and their LCM is 2175 if one of the number is 725 find the other ​

Answer 1

As we know HCF×LCM = Product of two numbers.

So , here one number is 725 , let the other be x.

So, According to our formula→

725x = HCF×LCM

or, x = (145×2175)/725

or, x = 315375/725

or, x = 435.

Answer → The other number is 435.

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Answer 2

Answer:

The another number is 435.

Step-by-step explanation:

Given :

• HCF of the numbers = 145
• LCM of the numbers = 2175
• One Number = 725

To Find :

The another number .

Solution :

Let the another number be x.

We know :

★ $\boxed{\sf HCF\timesLCM = Product\;\;of2\;numbers}}$

So,

$\sf\\ \\\implies 145 \times 2175 = 725 \times x\\ \\ \\ \implies 315375 = 725x\\ \\ \\ \implies x = \dfrac{315375}{725}\\ \\ \\\implies x = 435$

∴ The another number is 435.

$\rule{300}{1.5}$

★ Verification :

⇒ 145 × 2175 = 725 × 435

⇒ 315375 = 315375

⇒ LHS = RHS

Our Answer is Correct!