The HCF of the two numbers is 145 and their LCM is 2175. If one of the numbers is 725 then what is the other number?

Given the HCF (Highest Common Factor) and one of the numbers, we can find the other number using the relationship between HCF and LCM.

We know that for two numbers $\mathrm{a}$ and $\mathrm{b}$,

${\mathbf{\text{HCF}}}_{\mathbf{(}\mathbf{a}\mathbf{,}\mathbf{b}\mathbf{)}}\mathbf{\times }{\mathbf{\text{LCM}}}_{\mathbf{(}\mathbf{a}\mathbf{,}\mathbf{b}\mathbf{)}}\mathbf{=}\mathbf{\mid }\mathbf{a}\mathbf{\times }\mathbf{b}\mathbf{\mid }$

Here, you have one number; 725 and the HCF as 145, and the LCM as 2175.

Let the unknown number be $\mathrm{x}$.
Therefore, we have,
$145 \times 2175 = 725 \times \mathrm{x}$

$\mathrm{x} = \frac{145 \times 2175}{725}$

$\mathbf{x}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{435}$

Therefore, the other number is 435.