Verified answer

Answer:

435

Step-by-step explanation:

HCF(A, B) * LCM(A, B) = A * B

In this case, you know that the HCF of two numbers is 145, the LCM is 2175, and one of the numbers is 725. Let's denote the other number as "x."

Now, you can set up the equation:

145 * 2175 = 725 * x

First, calculate the product on the left side:

145 * 2175 = 315375

Now, substitute this value back into the equation:

315375 = 725 * x

To find the value of x, divide both sides of the equation by 725:

x = 315375 / 725

Now, calculate this division:

x ≈ 435

So, the other number is approximately 435.