Find the larger of two numbers if their H.C.F. is 9 and their L.C.M. is 180

To find the larger of the two numbers, we first need to understand that the product of two numbers is equal to the product of their H.C.F. and L.C.M.

Let's denote the two numbers as a and b. We know that:

a * b = H.C.F. * L.C.M.

Given that the H.C.F. is 9 and the L.C.M. is 180, we can substitute these values into the equation:

a * b = 9 * 180 a * b = 1620

We don't know the exact values of a and b, but we know that one of them is larger than the other. Since the H.C.F. is 9, possible pairs of numbers (a, b) that satisfy the equation could be (9, 180), (18, 90), (27, 60), (36, 45), etc.

Out of these pairs, the pair with the largest number is (9, 180). Therefore, the larger of the two numbers is 180.

To find the larger of the two numbers, we need to know that the product of two numbers is equal to the product of their H.C.F. and L.C.M.

Let's denote the two numbers as a and b. We know that:

a * b = H.C.F. * L.C.M.

Given that the H.C.F. is 9 and the L.C.M. is 180, we can substitute these values into the equation:

a * b = 9 * 180 a * b = 1620

We don't know the exact values of a and b, but we know that one of them is larger than the other. Since the H.C.F. is 9, possible pairs of numbers (a, b) that satisfy the equation could be (9, 180), (18, 90), (30, 54), (45, 36), etc.

Out of these pairs, the pair with the largest number is (9, 180). Therefore, the larger of the two numbers is 180.