The product of two numbers is 6845. If theHCF of the numbers is 37, then the greaternumber is:

Step 1: We know that the product of two numbers is equal to the product of their HCF and LCM.

So, let's denote the two numbers as a and b, their HCF as h and their LCM as l. We have:

a * b = h * l

Step 2: From the problem, we know that a * b = 6845 and h = 37. We can substitute these values into the equation:

37 * l = 6845

Step 3: Solve for l (the LCM):

l = 6845 / 37 = 185

Step 4: Now we know that the numbers a and b are factors of 185 that also have an HCF of 37. The factors of 185 are 1, 5, 37, and 185.

Step 5: The only pair of factors that have an HCF of 37 are 37 and 185.

So, the two numbers are 37 and 185, and the greater number is 185.