Question

the hcf of two number is 145 and their lcm is 2175 if one number is 725 find the other

Answer 1

Hey

Here is your answer,

HCF of two numbers = 145
LCM of two numbers = 2175

let the one number be x.

Product of two numbers = HCF x LCM
X x 725 = 145 x 2175
X = 2175 x 145/725
X = 3x 145
X = 435

Hope it helps you!

Answer 2

$\huge\sf{\underline{\underline{Answer}}}$

The another number is 435.

Given :

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

To find :

• The another number

______________________________

Let the another number be as y

 HCF × LCM = Product of 2 numbers

⇒ 145 × 2175 = 725 × y

⇒ 315375 = 725y

⇒ y = $\frac{315375}{725}$

⇒ y = 435

∴ The another number is 435.

$\sf\boxed{VERIFICATION:}$

145 × 2175 = 315375

725 × 435 = 315375

315375 = 315375

LHS = RHS

∴ The another number is 435.

#BAL

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