Question

the HCF of 2 numbers is 145 and their LCM is 2175. if one of the number is 725, find the other.

Answer 1

Answer:

Other number is 435.

Step-by-step explanation:

Given :

• HCF of two numbers = 145
• LCM of two numbers = 2175
• One number = 725

To find :

• Other number

Solution :

We know that,

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

: $\implies$ 145 × 2175 = 725 × Other number

: $\implies$ 315375 = 725 × Other number

: $\implies$ Other number = $\sf{\dfrac{315375}{725}}$

: $\implies$ Other number = 435

$\therefore$ Other number is 435.

Answer 2

Answer:

Given:

The HCF of 2 numbers is 145. Their LCM is is 2175. One of the number is 725.

Find:

Find the other number.

Know terms:

HCF = Highest common factor.

LCM = Least common factor.

Let us assume 'x' as the other numbers.

Using formula:

$\tt\rightarrow{\boxed{\tt{HCF \times LCM = Product \: of \: 2 \: numbers.}}}$

Calculations:

$\tt\rightarrow 145 \times 2175 = 725 \times x$

$\tt\rightarrow 315375 = 725 \times x$

$\tt\rightarrow x = \dfrac{315375}{725}$

$\tt\rightarrow x = 435$

Therefore, 435 is the other number.